Abigail C. answered 05/13/20
Enthusiastic and Encouraging Algebra 1 Expert - 16,000+ hours tutored
let x = number of quarters
let x + 3 = number of dimes
let x + 3 - 2 = number of nickels (he has more dimes than nickels, so we have to subtract 2)
.25x + .10(x+3) + .05(x + 1) = 1.15
.25x + .10x + .30 + .05x + .05 = 1.15
.40x + .35 = 1.15
.40x = .80
x = 2
He has 2 quarters, 5 dimes, and 3 nickels. I hope this helps! Please let me know if you have any questions.