Problem of the Week:
Making Change at the Boutique Shop
In the Boutique Shop, you must
determine the change a customer receives from $5.00 for each purchase and
decide what coins you use to make the change. You have quarters,
dimes, nickels, and pennies.* (Below is a list
of 8 possibilities.)
*Limit: 9 of any one coin
List all the different
ways you can make change in this problem?
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? (18)
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 that number has to be a multiple of 5.
of the Week