# 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? ##### 1 Answer Apr 24, 2018 #### Answer: 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