Stephanie has fourteen fewer dimes than nickels and three fewer quarters than nickels. Stephanie has a total of $11.05. How many of each coin does she have

Guest Apr 10, 2020

#1**+2 **

Let the number of nickels = N

The number of dimes = N - 14

The number of quarters = N - 3

So we have this equation

.05N + .10(N - 14) + .25(N - 3) = 11.05 simplify

.05N + .10N - 1.4 + .25N - .75 = 11.05

.40N - 2.15 = 11.05 add 2.15 to both sides

.40N = 13.2 divide both sides by .40

N = 33 = number of nickels

N - 14 = 19 = number of dimes

N - 3 = 30 = number of quarters

CPhill Apr 10, 2020