Boutique Shop

Making Change at the Boutique Shop

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In the Boutique Shop, you must determine the change a customer receives from $5.00 for a purchase of $.78 and decide what coins can be used to make the change. You have quarters, dimes, nickels, and pennies. Limit: 9 of any one coin.

List all the different ways you can make change in this problem. Use a spreadsheet template or create your own. (1)
(There are 27 ways. Here is the list.)

What is the least number of coins you need to find this change? (6)

Whats the most number of coins you can use to find this change if you have a limit of 9 of any particular coin? (19)

Why can you use only 8 pennies or 3 pennies? (Why not 9, 7, 6, 5, 4, 2, 1, or 0?) Try some of the numbers in parenthesis and see what happens. For example, if you have 9 pennies, then you have to make $.69 with the remaining coins. How do you make $.69 with only quarters, dimes and nickels? The amount that you make with the combinations of these three coins has to be a multiple of 5. So if you subtract the number of pennies from your required change, then the result has to be a multiple of 5.