Question 376012
A vending machine contains nickels and dimes worth $14.50. There are 95 more nickels than dimes. How many nickels and how many dimes are there?
.
Let x = number of dimes
then
x+95 = number of nickels
.

.10x + .05(x+95) = 14.50


.10x + .05x+4.75 = 14.50

.15x+4.75 = 14.50

.15x = 9.75

x = 65 (number of dimes)
.
number of nickels:
x+95 = 65+95 = 160