A collection of nickels, dimes, and quarters consist of 19 coins with a total of $ 3.70 . If the number of dimes is equal to the number of nickels, find the number of each type of coins.

Question

I know that there are 3 nickels.

Answer 1

N+D+Q =19

5N +10D + 25Q = 370

D=N

2D +Q = 19

15D + 25Q = 370

50D + 25Q = 475

35D = 105

D=105/35 = 3 dimes = 3 nickels

Q = 19-6 = 13 quarters

5(3) + 10(3) + 25(13) = 370