Mariam has $ 4.50 in dimes and nickles in her car. The number of nickles is nine more than the number of dimes. How many of each type of coin does she have?

Question

Mariam has $4.50 in dimes and nickles in her car. The number of nickles is nine more than the number of dimes. How many of each type of coin does she have?

Answer 1

N=9+D

450=5N+10D = 5(9+D)+10D = 15D +45

15D = 405

D = 405/15 = 27 Dimes

N = 36 Nickels

.05(36) + .10(27) = 1.8+2.7= 4.5