SOLUTION: A motel clerk counts his $1 bills at the end of the day. He finds that he has a total of 64 bills having a combined monetary value of $199. Find the number of bills of each denomin

Algebra ->  Finance -> SOLUTION: A motel clerk counts his $1 bills at the end of the day. He finds that he has a total of 64 bills having a combined monetary value of $199. Find the number of bills of each denomin      Log On


   

Question 1004300: A motel clerk counts his $1 bills at the end of the day. He finds that he has a total of 64 bills having a combined monetary value of $199. Find the number of bills of each denomination that he has.

Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The problem description is incomplete. Sixty-four bills at $1 each is not $199 dollars!


--New Information--
- One-dollar bills and ten-dollar bills -

x for the $1 bills, y for the $10 bills
system%28x%2By=64%2Cx%2B10y=199%29

The description is meaningful if the solution for the system gives whole-number values for x and y.
x%2B10y-%28x%2By%29=199-%28x%2By%29
x%2B10y-%28x%2By%29=199-64
9y=135
highlight%28y=15%29, and then x is very simple to find.

You CAN use strictly substitution method if you want. The steps just shown were part of that method, but the intent was to show you why Elimination Method is often convenient.