Write a system of equations to model the problem and solve the system:

Benjamin has nickels and dimes and his toy bank he has a total of 45 coins the total value of $3.60. How many coins of each kind does he have?

1 answer

N + D = 45
5N + 10D = 360 ---> N + 2D = 72

Subtract them ---> D = 27
then in your head from the first equation, N = 18

So he has 27 dimes and 18 nickels

check:
27+18 = 45 , check!
27 dimes = $2.70
18 nickels = $0.90
total = $3.60 check!