Question

Conner has 35 coins in his pocket, all of which are dimes and quarters. If the total value of his change is 575 cents, how many dimes and how many quarters does he have?

Answer 1

Let x be the number of dime then the number of quarter will be 35-x

1 dime = 10 c & 1 quarter = 25 c, so

(x*10)+(35-x)(.25) = 575

-15x = -300

15x = 300 & x = 20 (dime)  & Quarter = 15