Problema Solution

A man has 2 more nickels than dimes. He has 1.15 in all. How many coins of each kind does he have?

Answer provided by our tutors

*__Nickels *___Dimes

Let n = number of nickels

d = number of dimes

n = 2 + d (equation 1)

.05n + .10d = 1.15 (equation 2)

Substitute equation 1 into equation 2:

.05(2 + d) + .10d = 1.15

.10 + .05d + .10d = 1.15

.10 + .15d = 1.15

.15d = 1.05

d = 7

n = 2 + d

n = 2 + 7

n = 9

The man has 9 nickels and 7 dimes