Question

Michael has a bag with 38 coins in his backpack consisting of nickels, n, and quarters,q. If he has a total of $4.50, how many nickels, n, does he have?

Answer 1

25 Nickles

Explanation:

n + q = 38

0.05n + 0.25q = 4.50

n + q = 38

q = 38 - n

0.05n + 0.25q = 4.50

0.05n + 0.25(38 - n) = 4.50

0.05n + 9.5 - 0.25n = 4.50

-0.2n + 9.5 = 4.50

-0.2n = 4.50 - 9.50

-0.2n = -5

-0.2n/0.2 = -5/0.2

-n = -25

-n/-1 = -25

n = 25