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
+128460 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
