THe coins Phil has are worth $4.15. If they are just quarters and dimes, how many of each coin does he have?
There are 8 possible solutions:
19, 22, 25, 28, 31, 34, 37, or 40 coins:
1 quarter makes $0.25 plus 39 dimes, $3.90 makes $4.15 with 40 coins.
3 quarters makes $0.75 plus 34 dimes, $3.40 makes $4.15 with 37 coins.
5 quarters makes $1.25 plus 29 dimes, $2.90 makes $4.15 with 34 coins.
7 quarters makes $1.75 plus 24 dimes, $2.40 makes $4.15 with 31 coins.
9 quarters makes $2.25 plus 19 dimes, $1.90 makes $4.15 with 28 coins.
11 quarters makes $2.75 plus 14 dimes, $1.40 makes $4.15 with 25 coins.
13 quarters makes $3.25 plus 9 dimes, $.90 makes $4.15 with 22 coins.
15 quarters makes $3.75 plus 4 dimes, $.40 makes $4.15 with 19 coins.
Edwin