A pile of coins, consisting of nickels, dimes, and quarters, is worth $4.55.

Question

There are 4 more dimes than nickles and 3 quarters more than dimes. How many of each are there?

Answer 1

5n + 10d + 25q = 455

d = n + 4

q = d + 3

 

q = n + 4 + 3

q = n + 7

 

5n + 10(n + 4) + 25(n + 7) = 455

5n + 10n + 40 + 25n + 175 = 455

40n = 240

n = 6

 

I bet you csn get the other two.