If you spend $4.79, in how many ways can you receive change from a five dollar bill?

Question

If you spend $4.79, in how many ways can you receive change from a five dollar bill?

Answer 1

Your change would be 21 cents. Here are the combinations: 

 

Start with dimes (10), change with dimes (10) would be (10, 10, 1), (10, 5,5,1), (10, 5, 6), (10, 11)

With nickels (5), change would be (5,5,5,5,1), (5,5,5,6), (5,5,11), (5,16)

With pennies (1) it would be (21)

Your final answer would be that there are 9 possible ways to make change with a $5 bill if you owe $4.79

Answer 2

The difference between $5.00 and $4.79 is $0.21.

 

Using American currency, change can be made with dimes, nickels, and pennies.

 

The combinations are:

using dimes:  [10, 10, 1]   [10, 5, 5, 1]   [10, 5, 6x1]   [10, 11x1]

using nickels:  [5, 5, 5, 5, 1]   [5, 5, 5, 6x1]   [5, 5, 11x1]   [5, 16x1]

using pennies: 21x1

 

So, there are 9 ways to make the change.