A newspaper carrier has $6.80 in change. He has four more quarters than dimes but five as many nickels as quarters. How many coins of each type does he have?

Question

How many dimes does he have?

How many quarters does he have?

How many nickels does he have?

Answer 1

Let x = number of quarters

Then, x-4 = number of dimes and 5x = number of nickels

So, 0.05(5x) + 0.10(x-4) + 0.25x = 6.80

0.6x - 0.4 = 6.80

0.6x = 7.2

x = 12

There are 12 quarters, 8 dimes, and 60 nickels