Question

Garret’s coin bank contains500 nickels dimes and quarters. He has the same number of nickels as dimes and the total value of the coins is &72.50. How many quarters does he have?

Answer 1

Since he has the same number of nickels as dimes.

x = nickels

x = dimes

500 - 2x = quarters

the total value of the coins is $72.50

5x + 10x + 25(500-2x) = 7250

Solve for x

15x + 25(500) + 25(-2x) = 7250

15x + 12,500 - 50x = 7250

Combine like terms

15x - 50x = 7250 - 12500

-35x = -5250

Divide both sides of the equation by -35

-35x/-35 = -5250/-35

x = 150

150 quarters