Making Change

Show your work for each problem.

1.
You buy a pencil for 2 dollars and pay with a 5 dollar bill. How much change do you get?
1. a)5 dollars
2. b)3 dollars
3. c)7 dollars
4. d)2 dollars
Answer: 3 dollars
Change = Amount paid - Price = 5 - 2 = 3 dollars
2.
A cookie costs 1 dollar and 50 cents. You pay with 2 dollars. How many cents do you get back?
Answer: 50
dollars, which is 50 cents.
3.
Which formula correctly shows how to calculate change?
1. a)Change = Price + Amount Paid
2. b)Change = Amount Paid / Price
3. c)Change = Price - Amount Paid
4. d)Change = Amount Paid - Price
Answer: Change = Amount Paid - Price
Change = Amount Paid - Price. You subtract what it costs from what you gave to find what you get back.
4.
You buy a toy for 6 dollars and pay with a 10 dollar bill. How much change do you receive?
Answer: 4
dollars. You receive 4 dollars in change.
5.
A snack costs 3 dollars and 25 cents. You pay with 5 dollars. Find the change.
Answer: 1.75
1. What is the price of the snack? 3.25
2. How much did you pay? 5
3. What is ? 1.75
6.
You buy items for 8 dollars and 47 cents. You pay with a 20 dollar bill. What is your change?
1. a)11 dollars and 47 cents
2. b)12 dollars and 47 cents
3. c)12 dollars and 53 cents
4. d)11 dollars and 53 cents
Answer: 11 dollars and 53 cents
dollars. Borrow 1 dollar to subtract cents: cents, then dollars.
7.
A book costs 14 dollars and 85 cents. You pay with a 20 dollar bill. What is your change in dollars and cents? (Write as X.XX)
Answer: 5.15
dollars. Borrow to get cents, then dollars.
8.
Use the counting up method: A meal costs 7 dollars and 65 cents. You pay with 10 dollars. Find the change by counting up.
Answer: 2.35
1. Start at the price. How much to reach 7.70? 0.05
2. From 7.70, how much to reach 8.00? 0.30
3. From 8.00, how much to reach 10.00? 2
4. Add all parts: 0.05 + 0.30 + 2.00 = ? 2.35
9.
You buy items totaling 15 dollars and 63 cents. Which combination would be correct change from a 20 dollar bill?
1. a)4 dollars and 37 cents
2. b)4 dollars and 63 cents
3. c)5 dollars and 63 cents
4. d)5 dollars and 37 cents
Answer: 4 dollars and 37 cents
dollars. Borrow: cents, dollars.
10.
You buy three items: a pen for 2 dollars and 50 cents, a notebook for 4 dollars and 25 cents, and an eraser for 1 dollar and 75 cents. You pay with a 20 dollar bill. What is your change?
Answer: 11.50
1. Add the prices: 2.50 + 4.25 + 1.75 = ? 8.50
2. How much did you pay? 20
3. What is 20.00 - 8.50? 11.50
11.
A cashier gives you 3 dollars and 42 cents change. You paid with 10 dollars. What was the price of your purchase?
Answer: 6.58
Price = Amount Paid - Change = dollars.
12.
You have a 50 dollar bill. You buy groceries for 37 dollars and 84 cents. Calculate your change and determine how to give it using the fewest bills and coins.
Answer: 12.16
1. Calculate 50.00 - 37.84. What is the change? 12.16
2. How many 10 dollar bills in 12.16? 1
3. After one 10 dollar bill, how much is left? 2.16
4. How many 1 dollar bills for 2.16? 2
13.
A customer pays 23 dollars and 56 cents for items. The cashier accidentally enters 32 dollars and 56 cents. If the customer paid with 50 dollars, how much extra change did they incorrectly receive?
1. a)17 dollars and 44 cents
2. b)26 dollars and 44 cents
3. c)The customer received less change
4. d)9 dollars
Answer: The customer received less change
Correct change: . Wrong change: . The customer received LESS change (17.44 instead of 26.44), not more!
14.
You pay for a 67 dollar and 89 cent purchase with a 100 dollar bill. How much change do you get?
Answer: 32.11
dollars. Borrow: cents, dollars.
15.
You are a cashier. A customer buys items totaling 45 dollars and 73 cents and pays with three 20 dollar bills. Calculate the change and describe the bills and coins you would give.
Answer: 14.27
1. How much did the customer pay with three 20 dollar bills? 60
2. What is 60.00 - 45.73? 14.27
3. How many 10 dollar bills can you give? 1
4. After the 10 dollar bill, how much change is left? 4.27
16.
What is the minimum number of coins needed to make exactly 87 cents in change? (Using US coins: pennies, nickels, dimes, quarters)
1. a)4 coins
2. b)6 coins
3. c)7 coins
4. d)5 coins
Answer: 6 coins
87 cents = 3 quarters (75) + 1 dime (10) + 2 pennies (2) = 6 coins. But better: 3 quarters (75) + 1 dime (10) + 2 pennies (2) = 6 OR 2 quarters + 3 dimes + 1 nickel + 2 pennies = 8. Wait - best is 3 quarters + 1 dime + 2 pennies = 6 coins. Actually even better: 50+20+10+5+2 = 87 with 5 coins in Euro. For US: 3 quarters (75) + 1 dime (10) + 2 pennies (2) = 6 coins total. Hmm, let me recalculate: 3(25) + 1(10) + 2(1) = 75+10+2 = 87. That's 6 coins. Can we do better? 2(25) + 3(10) + 1(5) + 2(1) = 50+30+5+2 = 87 with 8 coins. No. What about 3(25) + 0(10) + 2(5) + 2(1) = 75+10+2 = wrong. The answer is 6 coins for US currency. For Euro: 50+20+10+5+2 = 87 with only 5 coins!
17.
You buy candy for 75 cents. You pay with 1 dollar. What is your change?
Answer: 0.25
1. How much did you pay? 1
2. How much did the candy cost? 0.75
3. What is 1.00 - 0.75? 0.25