Question

Juan goes to a bank and gets change for a $50 bill consisting of all $5 and $1 bills. There are 22 bills in all. How many of each kind are there?

Answer 1

15 ones and 7 fives.

Explanation:

Let `x` be the number of ones and `y` be the number of fives.

1x + 5y = 50

x + y = 22

Subtracting,

4y = 28

y = 7

x = 22-7 = 15

Check:

`15+7=22 quad sqrt`

`1(15) + 7(5) = 50 quad sqrt`