How many ways can you make 2.50 from quarters and dimes?

Answer 1

To make $2.50 from quarters (worth 25 cents) and dimes (worth 10 cents), we can set up a system of equations. Let q represent the number of quarters and d represent the number of dimes. The equations would be 25q + 10d = 250 (representing the total value in cents) and q + d = 25 (representing the total number of coins). Solving these equations simultaneously, we find that there are 6 ways to make $2.50 using quarters and dimes.

Answer 2

2.50 can be made up from 10 quarters or 25 dimes, for the first two ways. The smallest number of quarters that can be substituted for dimes without changing the sum is two, substituted for five dimes. Therefore, you can have: 20 dimes + 2 quarters, 15 dimes + 4 quarters, 10 dimes + 6 quarters, or 5 dimes + 8 quarters, four additional possibilities for a total of six..