Question

Peter has 22 coins, all dimes and quarters whose total value is $4.30 how many of each coin does he have PLEASE HELP!!!!!

Answer 1

8 dimes and 14 quarters.

Explanation:

d and q are the number of dimes and quarters, respectively.

"22 coins, all dimes and quarters"

d+q = 22

d = 22-q

"total value is $4.30"

0.10d + 0.25q = 4.30

substitution

0.10(22-q) + 0.25q = 4.30

2.2 + 0.15q = 4.30

q = 14

d = 22-q = 8

8 dimes and 14 quarters.