Question

A bag contains 21 coins consisting of nickles and dimes. The total value of the coins is $1.70.

Write a system of equations that models this situation. How many nickels are in the bag?

Answer 1

8

Explanation:

x = nickles

y = dimes

0.05x + 0.10y = 1.70

x + y = 21

y = 21 - x

0.05x + 0.10 (21 - x) = 1.70

0.05x - 0.10x + 2.10 = 1.70

-0.05x + 2.10 = 1.70

-0.05x = -0.40

x = 8