A motel clerk counts his​ $1 and​ $10 bills at the end of the day.

Question

A motel clerk counts his​ $1 and​ $10 bills at the end of the day. He finds that he has a total of 44 bills having a combined monetary value of ​$152. Find the number of bills of each denomination that he has.

Answer 1

x+y =44

x+10y = 152

10x +10y = 440

subtract to get

9x = 440-152= 288

x = 288/9 = 32 ones

y = 44-32= 12 tens

Answer 2

Hello Emmy

lets say x represents # of $1 bills

y represents # of $10 bills

x + y = 44

1*x + 10*y = 152

we can solve that by elimination

if multiply first equation by -1;

-x - y = -44

x +10y = 152

9y = 108

y = 12

if x +y = 44; x+ 12 = 44; x= 32

answer is (32,12)

clerk has 32 $1 bills and 12 $10 bills

Hope that helps