Luis buys 3 shirts that cost $14.50 each and 2 pairs of socks that cost $4.25 per pair. What is the total cost before tax?
Hint
Find the cost of the shirts and the cost of the socks separately, then add.
Step-by-step solution
Cost of shirts: 3 \times 14.50 = 43.50.
Cost of socks: 2 \times 4.25 = 8.50.
Total: 43.50 + 8.50 = 52.00.
Answer: $52.00
Check: Estimate: 3 \times \$15 = \$45 and 2 \times \$4 = \$8, so about $53 — close to $52.00 ✓.
Tip: Total cost = (number of units) × (price per unit) — this formula is on the GED formula sheet. When a problem has several items, use it once for each item, then add the results.
Question 2 of 36
Fill in
Keisha earns $15.80 per hour. She works 32 hours each week for 4 weeks. How much does she earn in the 4 weeks, before taxes?
$
Type your answer in the box. Fractions like 3/4 are fine.
Hint
Find the total number of hours first, then multiply by the hourly rate.
Check: One week's pay is 15.80 \times 32 = \$505.60, and 4 \times 505.60 = \$2{,}022.40 ✓.
Tip: You can multiply in any order — hours first or one week's pay first. Choose the order that gives easier numbers, and be sure you used every number the question needs (here, the 4 weeks).
Question 3 of 36
No calculator
Six friends order 4 pizzas for a total of $72. They split the total cost equally. How much does each friend pay?
Hint
The cost is shared among the people, not among the pizzas.
Step-by-step solution
"Split equally among six friends" means divide the total by the number of people.
72 \div 6 = 12.
The number of pizzas (4) is extra information — it doesn't change how much money is shared.
Answer: $12
Check:6 \times \$12 = \$72 ✓.
Tip: Word problems often include numbers you don't need. Before you compute, ask "what is being shared, and among whom?" — then use only those two numbers.
Question 4 of 36
For the new school year, Grace buys 4 notebooks at $2.35 each, 3 packs of pens at $3.89 per pack, and 1 backpack for $24.99. What is the total cost before tax?
Hint
Multiply each price by how many Grace bought, then add the three amounts.
Step-by-step solution
Notebooks: 4 \times 2.35 = 9.40.
Pens: 3 \times 3.89 = 11.67.
Backpack: 1 \times 24.99 = 24.99.
Total: 9.40 + 11.67 + 24.99 = 46.06.
Answer: $46.06
Check: Estimate: 4 \times 2.50 = 10, 3 \times 4 = 12, plus 25 gives about 47 — close to $46.06 ✓.
Tip: In a shopping list, every line is quantity × price. Write each line's cost before adding, so you don't add one of each by accident or pair a quantity with the wrong price.
Question 5 of 36
Fill in
Six coworkers go out for lunch. The bill is $86.40, and they leave a $15.60 tip. They split the total, including the tip, equally. How much does each coworker pay?
$
Type your answer in the box. Fractions like 3/4 are fine.
Hint
First find the full amount they paid, then share it equally.
Step-by-step solution
Total paid: 86.40 + 15.60 = 102.00.
Share equally among 6 people: 102.00 \div 6 = 17.00.
Answer: $17.00
Check:6 \times 17.00 = 102.00 = 86.40 + 15.60 ✓.
Tip: "Split the total" means add everything first, then divide. Dividing only the bill (86.40 \div 6 = 14.40) and forgetting the tip is the most common slip. If you divide each part separately, you must add both shares: 14.40 + 2.60 = 17.00.
Question 6 of 36
Ana used a gift card to buy 2 movie tickets at $13.75 each and a popcorn combo for $18.40. She has $54.10 left on the card. How much was on the gift card at the start?
Hint
The money she spent plus the money left equals the starting amount. Undo the spending by adding.
Step-by-step solution
Cost of the tickets: 2 \times 13.75 = 27.50.
Total spent: 27.50 + 18.40 = 45.90.
Work backwards: spending is undone by adding. Start = 54.10 + 45.90 = 100.00.
Tip: When the problem gives the end amount and asks for the start, reverse each step with the opposite operation. Money spent → add it back. Don't forget to multiply by the quantity (2 tickets) before adding.
Question 7 of 36
At a market, Tom buys 2.5 pounds of cheese at $6.40 per pound and 3 pounds of apples at $1.85 per pound. He pays with a $50 bill. How much change should he get?
Hint
Find each item's cost, add them, and then subtract from the amount he paid.
Step-by-step solution
Cheese: 2.5 \times 6.40 = 16.00.
Apples: 3 \times 1.85 = 5.55.
Total cost: 16.00 + 5.55 = 21.55.
Change: 50.00 - 21.55 = 28.45.
Answer: $28.45
Check: Add the change back to the cost: 21.55 + 28.45 = 50.00 ✓.
Tip: "Change" questions always end with a subtraction from the amount paid. The total cost ($21.55) is a tempting wrong choice because it is a correct number — just not the one the question asks for.
Question 8 of 36
Fill in
Ana is driving 378 miles to visit family. Her car gets 28 miles per gallon, and gas costs $3.60 per gallon. How much will the gas for the trip cost?
$
Type your answer in the box. Fractions like 3/4 are fine.
Hint
First find how many gallons she needs. Then find what those gallons cost.
Step-by-step solution
Gallons needed = miles ÷ miles per gallon: 378 \div 28 = 13.5 gallons.
Check: Work backwards: \$48.60 \div \$3.60 = 13.5 gallons, and 13.5 \times 28 = 378 miles ✓.
Tip: Follow the units. \text{miles} \div \tfrac{\text{miles}}{\text{gallon}} = \text{gallons}, and \text{gallons} \times \tfrac{\$}{\text{gallon}} = \$. If the units don't come out to what the question asks for, the operation is wrong (for example, 378 \times 3.60 gives "mile-dollars per gallon", which makes no sense).
Question 9 of 36
A plumber charges a $75 service fee plus $45 per hour of work. A customer's bill was $345. How many hours did the plumber work?
Hint
The $75 fee is charged only once. What part of the bill is for the hourly work?
Step-by-step solution
Write the bill: 75 + 45h = 345, where h is the number of hours.
Remove the one-time fee: 345 - 75 = 270. This is the cost of the hours.
Divide by the hourly rate: 270 \div 45 = 6.
Answer: 6 hours
Check:75 + 45 \times 6 = 75 + 270 = 345 ✓.
Tip: In "fee + rate" problems, undo the steps in reverse: subtract the fixed fee first, then divide by the rate. Dividing the whole bill by the rate wrongly charges the fee as if it were extra hours.
Question 10 of 36
Drag and drop
Marcus earns $2,850 per month. His monthly expenses are rent $1,140, utilities $185.60, and groceries $420.
Drag the correct amount into each box. Two amounts are not used.
Total monthly expenses
Amount left over each month
Tap a tile, then tap a box to place it.
Hint
Add all three expenses first. Then subtract that total from his income.
Step-by-step solution
Total expenses:1140 + 185.60 + 420 = 1745.60.
Left over:2850 - 1745.60 = 1104.40.
Answer: Total monthly expenses = $1,745.60; amount left over = $1,104.40.
Check:1745.60 + 1104.40 = 2850.00, his whole income ✓.
Not used:
$1,290.00 = 2850 - 1140 - 420 forgets the utilities.
$4,595.60 = 2850 + 1745.60 adds the expenses to the income instead of subtracting.
Tip: In budget problems, the money left over plus the money spent must equal the income. Use that as a quick check every time.
Question 11 of 36
A store sells a 24-pack of bottled water for $5.76 and a 36-pack for $7.92. Which pack has the lower price per bottle, and how much less per bottle is it?
Hint
Find the price of one bottle in each pack by dividing price by number of bottles.
Step-by-step solution
Unit price of the 24-pack: \$5.76 \div 24 = \$0.24 per bottle.
Unit price of the 36-pack: \$7.92 \div 36 = \$0.22 per bottle.
The 36-pack is cheaper per bottle by 0.24 - 0.22 = \$0.02.
Tip: To compare packages of different sizes, compare unit prices, not total prices. The $2.16 difference in total price is meaningless because the packs hold different numbers of bottles.
Question 12 of 36
Drop-down
Select the correct answer from each drop-down menu.
Lena earns $18 per hour. She works 6\tfrac{3}{4} hours a day, 5 days a week.
Her weekly pay is .
She is saving for a used car that costs $2,430. If she saves all of her pay, it will take her weeks.
Choose an answer from each menu.
Hint
Change 6\tfrac{3}{4} to a decimal carefully. Then find one week's pay before dividing the car's price.
Tip: A fraction in a mixed number is not read digit-by-digit as decimals: \tfrac{3}{4} = 0.75, not 0.34. When in doubt, divide the numerator by the denominator.
Question 13 of 36
Derek drives 52 miles each workday, 5 days a week. His car gets 26 miles per gallon, and gas costs $3.45 per gallon. How much does Derek spend on gas for his driving each week?
Hint
Find the miles for the week, then the gallons, then the cost.
Step-by-step solution
Miles per week: 52 \times 5 = 260 miles.
Gallons used: 260 \div 26 = 10 gallons.
Cost: 10 \times 3.45 = 34.50.
Answer: $34.50
Check: Work backwards: \$34.50 \div \$3.45 = 10 gallons, and 10 \times 26 = 260 miles = 5 \times 52 ✓.
Tip: Follow the units: miles ÷ (miles per gallon) = gallons; gallons × (dollars per gallon) = dollars. If the units don't cancel to dollars, a step is wrong.
Question 14 of 36
Fill in
A gym charges a one-time $49 sign-up fee plus $29.50 per month. Kendra has paid the gym a total of $403 so far. For how many months has she been a member?
months
Type your answer in the box. Fractions like 3/4 are fine.
Hint
The sign-up fee is paid only once. Take it out of the total before dividing by the monthly price.
Step-by-step solution
Remove the one-time fee: 403 - 49 = 354. This is what she paid in monthly charges.
Tip: Fixed fee + rate problems work backwards in this order: subtract the fee first, then divide by the rate. Dividing the whole $403 by $29.50 gives about 13.7 — not a whole number of months, a sign that the fee was ignored.
Question 15 of 36
A store sells rice in a 5-pound bag for $6.45 and a 20-pound bag for $23.60. Which bag has the lower price per pound, and how much less per pound is it?
Hint
Divide each price by its number of pounds, then compare the two unit prices.
Step-by-step solution
Unit price of the 5-lb bag: 6.45 \div 5 = 1.29 dollars per pound.
Unit price of the 20-lb bag: 23.60 \div 20 = 1.18 dollars per pound.
The 20-lb bag is cheaper per pound by 1.29 - 1.18 = 0.11.
Answer: The 20-pound bag, by $0.11 per pound.
Check: Four 5-lb bags make 20 lb and cost 4 \times 6.45 = 25.80. That is 25.80 - 23.60 = 2.20 more, and 2.20 \div 20 = 0.11 per pound ✓.
Tip: Never compare package prices directly when the sizes differ. Find the price per unit (per pound, per ounce, per bottle) for each, then compare.
Question 16 of 36
A community center expects 230 guests at a fundraiser dinner. Each table seats 8 guests, and tables rent for $12 each. What is the least amount the center can spend so every guest has a seat?
Hint
Find how many tables are needed. Can the center rent part of a table?
Step-by-step solution
Tables needed: 230 \div 8 = 28.75.
The center must seat everyone, and tables come whole, so round up: 29 tables. (28 tables seat only 28 \times 8 = 224 guests.)
Tip: When you must have enough (tables, boxes, buses), always round up, even if the decimal is small. Then finish the problem — the question asks for dollars, not tables.
Question 17 of 36
No calculator
A taxi charges $3.50 to start the ride plus $2.25 per mile. Omar rides 14 miles and gives the driver a $5 tip. Which expression gives the total amount Omar pays, in dollars?
Hint
Which amounts are paid once, and which one is paid for every mile?
Step-by-step solution
The $3.50 start charge is paid once.
The $2.25 is paid per mile, so for 14 miles it is 2.25 \times 14 = 2.25(14).
The $5 tip is paid once.
Total: 3.50 + 2.25(14) + 5.
Answer: 3.50 + 2.25(14) + 5
Check: Evaluate: 3.50 + 31.50 + 5 = 40.00. Reasonable: about $2 a mile for 14 miles is about $30, plus small extras ✓.
Tip: Sort the numbers into one-time amounts (added once) and rates (multiplied by the quantity). Only the rate gets multiplied. Parentheses around (3.50 + 2.25) would wrongly charge the start fee every mile.
Question 18 of 36
Fill in
Sam earns $17.20 per hour. The table shows the hours he worked last week.
Day
Mon
Tue
Wed
Thu
Fri
Hours
7.5
8
6.25
8
4.75
How much did Sam earn last week, before taxes?
$
Type your answer in the box. Fractions like 3/4 are fine.
Hint
Add up all the hours in the table first, then multiply by his hourly pay.
Check: Estimate: about 35 hours at about $17 is 35 \times 17 = 595 — very close ✓. Or add daily pay: 129 + 137.60 + 107.50 + 137.60 + 81.70 = 593.40 ✓.
Tip: With a table, first decide which row you need and combine it (here, add the hours). Adding the hours first means only one multiplication, which leaves fewer chances for a slip than five separate ones.
Question 19 of 36
A diner's menu is shown.
Item
Price
Burger
$8.95
Salad
$7.50
Fries
$3.25
Drink
$2.10
A family orders 2 burgers, 1 salad, 3 orders of fries, and 4 drinks. They pay with $60. How much change should they receive? (There is no tax.)
Hint
Find the cost of each item type using the menu, add them, then subtract from $60.
Step-by-step solution
Burgers: 2 \times 8.95 = 17.90.
Salad: 1 \times 7.50 = 7.50.
Fries: 3 \times 3.25 = 9.75.
Drinks: 4 \times 2.10 = 8.40.
Total: 17.90 + 7.50 + 9.75 + 8.40 = 43.55.
Change: 60.00 - 43.55 = 16.45.
Answer: $16.45
Check:43.55 + 16.45 = 60.00 ✓.
Tip: Make one line per menu item (quantity × price), then total. The last step of any "change" problem is a subtraction from the amount paid — the bill total is a trap answer.
Question 20 of 36
Drop-down
Select the correct answer from each drop-down menu.
Five friends go camping. The campsite costs $42 per night for 3 nights. They also spend $97.50 on groceries and $18 on firewood. They split all costs equally.
The total cost of the trip is .
Each friend pays .
Choose an answer from each menu.
Hint
Find the campsite cost for all 3 nights first, then add the other costs. Divide by the number of people, not the number of nights.
Step-by-step solution
Campsite: 42 \times 3 = 126.
Total: 126 + 97.50 + 18 = 241.50.
Each friend: 241.50 \div 5 = 48.30.
Answer: total $241.50; each friend pays $48.30.
Check:5 \times 48.30 = 241.50 ✓.
Tip: Watch for the two different counts in this problem: 3 nights (multiply the nightly price) and 5 friends (divide the total). Mixing them up is the most common mistake.
Question 21 of 36
A room is 12 feet by 15 feet. Floor tile is sold only in full boxes; each box covers 22 square feet and costs $38.50. What is the least amount of money needed to buy enough tile to cover the floor?
Hint
Find the area, then the number of boxes. Can you buy part of a box?
Step-by-step solution
Area of the floor: 12 \times 15 = 180 square feet.
Boxes needed:180 \div 22 \approx 8.18 boxes.
Only full boxes are sold, and 8 boxes cover only 8 \times 22 = 176 sq ft, which is not enough. Round up to 9 boxes.
Cost:9 \times 38.50 = 346.50.
Answer: $346.50
Check: 9 boxes cover 9 \times 22 = 198 \ge 180 sq ft ✓; 8 boxes (176 sq ft) fall 4 sq ft short ✓.
Tip: When you must buy enough of something sold in whole units, always round up, even if the decimal is small (8.18 → 9). Rounding to the nearest whole number or using the exact decimal are both traps.
Question 22 of 36
Fill in
Darnell had some money in his wallet. He spent $23.75 on a birthday gift. Then he spent half of the money he had left on groceries. He now has $41.30. How much money did he have at the start?
$
Type your answer in the box. Fractions like 3/4 are fine.
Hint
Work backwards from $41.30. Undo the last step first, using the opposite operation.
Step-by-step solution
Undo each step in reverse order.
Undo "spent half of what was left": $41.30 is the half he kept, so before groceries he had 41.30 \times 2 = 82.60.
Undo "spent $23.75": before the gift he had 82.60 + 23.75 = 106.35.
Answer: $106.35
Check: Going forwards, 106.35 - 23.75 = 82.60. Half of 82.60 is 41.30 spent on groceries, leaving 82.60 - 41.30 = 41.30 ✓.
Tip: Working backwards means reversing both the order and the operations: the last thing done is undone first; subtraction becomes addition, and "half" becomes "double". A common error is to undo in the wrong order: (41.30 + 23.75) \times 2 = 130.10, which fails the forward check.
Question 23 of 36
The map shows the delivery loop that Priya drives each workday: from Home to the Library, then to the Market, then back Home.
She drives the full loop once a day, 5 days a week. Her employer pays her $0.70 per mile for driving. How much is she paid for driving each week?
Hint
Add all three legs of the loop for one day. Then think about the week and the pay rate.
Step-by-step solution
One loop: 3.4 + 2.8 + 4.1 = 10.3 miles.
One week: 10.3 \times 5 = 51.5 miles.
Pay: 51.5 \times 0.70 = 36.05.
Answer: $36.05
Check: One day pays 10.3 \times 0.70 = 7.21, and 7.21 \times 5 = 36.05 ✓.
Tip: On a map, trace the whole route with your finger and list every leg — the trip back home counts. Then decide whether the question is about one day or the whole week.
Question 24 of 36
Carlos earns $16 per hour for the first 40 hours he works in a week. For every hour over 40, he earns 1.5 times his regular rate. Last week he worked 46 hours. What were his total earnings?
Hint
Split the hours into regular hours and overtime hours. Find the overtime rate, then add the two kinds of pay.
Step-by-step solution
Regular pay: 40 \times 16 = 640.
Overtime hours: 46 - 40 = 6.
Overtime rate: 1.5 \times 16 = 24 dollars per hour.
Overtime pay: 6 \times 24 = 144.
Total: 640 + 144 = 784.
Answer: $784
Check: Without overtime he would earn 46 \times 16 = 736. The extra half-rate on 6 hours is 6 \times 8 = 48, and 736 + 48 = 784 ✓.
Tip: Overtime problems always have two groups of hours. Only the hours over 40 get the higher rate.
Question 25 of 36
Drag and drop
Imani's take-home pay is $3,120 per month. Her monthly expenses are rent $1,275, car payment $340.80, insurance $126.45, and groceries $512.
Drag the correct amount into each box. Two amounts are not used.
Total monthly expenses
Amount left over each month
Tap a tile, then tap a box to place it.
Hint
Add all four expenses carefully, lining up the decimal points. Then subtract from her pay.
Answer: total expenses $2,254.25; left over $865.75.
Check:2254.25 + 865.75 = 3120.00 ✓.
Tip: Write whole-dollar amounts with cents (1275.00, 512.00) so the decimal points line up when you add. A budget question usually has two answers — the total spent and what is left — so read which box needs which.
Question 26 of 36
Fill in
A pump fills a backyard pool at 18 gallons per minute. The pool holds 4,860 gallons. How many hours will it take to fill the empty pool?
hours
Type your answer in the box. Fractions like 3/4 are fine.
Hint
First find the time in minutes. Then change minutes to hours.
Check: In 4.5 hours there are 4.5 \times 60 = 270 minutes, and 270 \times 18 = 4860 gallons ✓.
Tip: Read the unit the question asks for. A rate per minute gives an answer in minutes; finish with the conversion. Answering 270 is a correct number with the wrong unit.
Question 27 of 36
At the start of a shift, a cashier's drawer had some cash in it. During the shift, the drawer took in $186.40 in cash sales. Then $45 was paid out of the drawer for supplies. At closing, the manager took half of the cash in the drawer to the bank, leaving $150.70. How much cash was in the drawer at the start of the shift?
Hint
Start from $150.70 and undo each step in reverse order, using the opposite operation each time.
Step-by-step solution
Undo the steps in reverse order with the opposite operation.
Last step: half was taken out, leaving $150.70. Undo by doubling: 150.70 \times 2 = 301.40.
Before that, $45 was paid out. Undo by adding: 301.40 + 45 = 346.40.
Before that, $186.40 of sales came in. Undo by subtracting: 346.40 - 186.40 = 160.00.
Answer: $160.00
Check: Forwards: 160 + 186.40 = 346.40; 346.40 - 45 = 301.40; half of 301.40 is 150.70 taken out, leaving 150.70 ✓.
Tip: Work-backwards rule: last step first, and flip every operation (× 2 for half, + for money paid out, − for money taken in). Always run the answer forwards to confirm.
Question 28 of 36
Two phone plans are shown.
Plan
Activation fee
Monthly charge
Plan A
$0
$35
Plan B
$99
$25
Jordan will keep the plan for 12 months. Which plan costs less over the 12 months, and by how much?
Hint
Find the full 12-month cost of each plan, including any fee, before comparing.
Step-by-step solution
Plan A: 0 + 35 \times 12 = 420.
Plan B: 99 + 25 \times 12 = 99 + 300 = 399.
Difference: 420 - 399 = 21. Plan B costs less.
Answer: Plan B, by $21
Check: Plan B saves $10 per month, which is $120 over 12 months; minus the $99 fee leaves 120 - 99 = 21 ✓.
Tip: Compare the total cost for the whole time period. Looking at one month makes Plan A look cheaper (35 < 25 + 99); ignoring the fee makes Plan B look much cheaper. Only the full totals tell the truth.
Question 29 of 36
Drop-down
Select the correct answer from each drop-down menu.
Jada buys n bags of mulch at $4.75 per bag and one rake for $18.90. She has $80 to spend. (There is no tax.)
An expression for her total cost, in dollars, is .
The greatest number of bags she can buy is .
Choose an answer from each menu.
Hint
Only the mulch depends on n. For the second blank, set aside money for the rake first, then see how many whole bags fit.
Step-by-step solution
First blank.
Each bag costs $4.75, so n bags cost 4.75n. The rake is bought once: +\,18.90.
Total cost: 4.75n + 18.90.
Second blank.
3. Money left after the rake: 80 - 18.90 = 61.10.
4. Bags: 61.10 \div 4.75 \approx 12.86.
5. She can only buy whole bags and cannot spend more than $80, so round down: 12 bags.
Tip: When money is limited, round down — rounding up means spending money you don't have. Test the next whole number to be sure.
Question 30 of 36
Rosa is painting 3 walls of a room. Each wall is 12 feet wide and 8 feet high. One wall has a window that is 3 feet by 4 feet (it will not be painted). She will apply 2 coats of paint.
Paint is sold in two sizes:
Size
Covers
Price
Gallon
350 sq ft
$32.98
Quart
87.5 sq ft
$13.49
What is the least amount Rosa can spend to buy enough paint?
Hint
Find the total area for two coats. Then compare the cost of different combinations of gallons and quarts that cover at least that area.
Check: 2 gallons cover 700 sq ft, more than the 552 sq ft needed ✓; 1 gallon + 2 quarts covers only 350 + 175 = 525 < 552 sq ft, so it is not enough ✓.
Tip: In "least cost" problems, list every reasonable combination that covers the need, price each one, and compare. Leftover paint is fine; running short is not.
Question 31 of 36
Select all
A group of 8 friends rents a van for a trip. The van costs $189 per day for 2 days, and they spend $64 on gas. They split the total cost equally.
Select all of the expressions that give the cost per person, in dollars.
Select all that apply.
Hint
Write the total cost first, then divide it by 8. An expression is correct only if the whole total gets divided by 8.
Step-by-step solution
Total cost: van 189 \times 2 = 378, plus gas 64, so 378 + 64 = 442.
Tip: "Split equally" means every part of the total is divided by the number of people. You may divide the parts separately — as long as no part is left undivided.
Question 32 of 36
Fill in
An online store charges shipping based on the total weight of an order, shipped in one box.
Total weight
Shipping cost
0 to 2 lb
$5.95
more than 2 lb, up to 5 lb
$8.50
more than 5 lb, up to 10 lb
$12.75
Luz orders three items:
Item
Price
Weight
Lamp
$22.50
2.6 lb
Pillow
$14.99
1.8 lb
Picture frame
$8.75
0.9 lb
What is the total cost of her order, including shipping? (There is no tax.)
$
Type your answer in the box. Fractions like 3/4 are fine.
Hint
Add the weights to find which shipping row to use. Then add the item prices and the one shipping charge.
Step-by-step solution
Total weight: 2.6 + 1.8 + 0.9 = 5.3 lb.
5.3 lb is more than 5 lb and up to 10 lb, so shipping is $12.75 (one charge for the whole box).
Items: 22.50 + 14.99 + 8.75 = 46.24.
Total: 46.24 + 12.75 = 58.99.
Answer: $58.99
Check: If each item shipped separately, shipping would be 8.50 + 5.95 + 5.95 = 20.40 — but the store ships one box by total weight, so $12.75 is right ✓. 46.24 + 12.75 = 58.99 ✓.
Tip: In tier tables, check the boundaries: 5.3 lb is just over 5, so it falls in the next row. Using the "up to 5 lb" row ($8.50) would give $54.74.
Question 33 of 36
Drop-down
Select the correct answer from each drop-down menu.
Coffee is sold in a 12-ounce bag for $8.49 and a 2-pound bag for $21.12. (1 pound = 16 ounces.)
The bag with the lower price per ounce is the .
Nora uses 96 ounces of coffee a month. Buying only the cheaper size instead of only the other size saves her per month.
Choose an answer from each menu.
Hint
Change pounds to ounces first. Then find each price per ounce. For the savings, find how many bags of each size make 96 ounces.
Price per ounce, 2-lb bag: 21.12 \div 32 = 0.66 dollars. The 2-pound bag is cheaper per ounce.
96 oz using 12-oz bags: 96 \div 12 = 8 bags, costing 8 \times 8.49 = 67.92.
96 oz using 2-lb bags: 96 \div 32 = 3 bags, costing 3 \times 21.12 = 63.36.
Savings: 67.92 - 63.36 = 4.56.
Answer: the 2-pound bag; she saves $4.56 per month.
Check: Difference per ounce 0.7075 - 0.66 = 0.0475, and 96 \times 0.0475 = 4.56 ✓.
Tip: Put both sizes in the same unit before comparing. Forgetting the conversion (21.12 \div 2 = 10.56 "per unit") makes the big bag look far more expensive.
Question 34 of 36
A baker has 25 cups of flour. Each batch of bread uses 2\tfrac{3}{4} cups of flour and makes 2 loaves. Each loaf sells for $6.50. If the baker makes as many complete batches as possible and sells every loaf, how much money will the bread bring in?
Hint
How many complete batches can 25 cups make? Can a partial batch become loaves?
Step-by-step solution
Convert: 2\tfrac{3}{4} = 2.75 cups.
Batches: 25 \div 2.75 \approx 9.09. Only complete batches count, so round down: 9 batches.
Loaves: 9 \times 2 = 18 loaves.
Money: 18 \times 6.50 = 117.
Answer: $117.00
Check: 9 batches use 9 \times 2.75 = 24.75 cups \le 25 ✓; 10 batches would need 27.5 cups — too much ✓.
Tip: Round down when you can only make complete items from a limited supply. Then keep going — this question needs two more steps (loaves, then dollars) after the rounding.
Question 35 of 36
A moving truck rents for $29.95 per day plus $0.89 per mile. Ruth rented the truck for 2 days, and her bill was $224.55. How many miles did she drive?
Hint
The daily charge depends on days, not miles. Remove the full daily charge first, then divide by the per-mile rate.
Tip: Separate the bill into its parts: the part that depends on days and the part that depends on miles. Remove everything that is not miles, then divide by the per-mile rate. A whole-number answer is a good sign; a long decimal often means a step was missed.
Question 36 of 36
Fill in
Lucia is renting a car for a 4-day trip and will drive 520 miles.
Company A charges $45 per day with unlimited miles.
Company B charges $28 per day plus $0.20 per mile.
How much money does Lucia save by choosing the cheaper company?
$
Type your answer in the box. Fractions like 3/4 are fine.
Hint
Find each company's total cost for the whole trip, then subtract the smaller total from the larger.
Step-by-step solution
Company A: 45 \times 4 = 180.
Company B: daily part 28 \times 4 = 112; mileage part 0.20 \times 520 = 104; total 112 + 104 = 216.
Company A is cheaper. Savings: 216 - 180 = 36.
Answer: $36
Check: Per day, B is $17 cheaper, saving 4 \times 17 = 68; but B's miles cost $104. Net: 104 - 68 = 36 more for B ✓.
Tip: A lower daily price is not always cheaper — the per-mile charge can outweigh it on a long trip. Compute both full totals for the same trip before deciding.
