a newspaper carrier has $1.80 in change. He has two more quarters than dimes but three times as many nickels as quarters. How many coins of each type does he have?

Answer 1

dimes--- x
quarters -- x+2
nickels --- 3(x+2) = 3x + 6

10x + 25(x+2) + 5(3x+6) = 180
10x + 25x + 50 + 15x + 30 = 180
50x =100
x = 2

so 2 dimes
and 4 quarters
and 12 nickels

check:
10(2) + 4(25) + 5(12) = 180
all is good

Answer 2

Thanks so much Reiny.