Question

If you spend 4.77, in how many ways can you receive change from a five dollar bill

Answer 1

Calculate the amount of change you get:

$5 - $4.77 = $0.23

This can only be made up of pennies ($0.01), nickels ($0.05), or dimes ($0.10). Then you can get this amounts in the form of

• 23 pennies

• 18 pennies and 1 nickel

• 13 pennies and 2 nickels

• 13 pennies and 1 dime

• 8 pennies and 3 nickels

• 8 pennies, 1 nickel, and 1 dime

• 3 pennies and 4 nickels

• 3 pennies, 2 nickels, and 1 dime

• 3 pennies and 2 dimes

so there are 9 ways to get 23 cents.