Question

a jar of nickels and dimes contains 3.30. There are 27 more nickels than dimes. how many of each are there?

Answer 1

et x be the number of dimes.

Then there is 0.1x + 0.05(x+27) cents in the jar, so

0.1x + 0.05(x+27) = 3.30

Distributing,

0.1x + 0.05x + 1.35 = 3.30
0.15x = 1.95
x = 13

There are 13 dimes, and thus, 40 nickels in the jar.