A motel clerk counts his $1 and $10 bills at the end of the day. He finds that he has a total of 53 bills having a combined monetary value of $ 182.
let x be the number of $1 bills
y be the number of $10 bills
There are total of 53 bills so the equation becomes
x+y=53 ---> first equation
Bills having a combined monetary value of $ 182
x + 10 y = 182 ----> second equation
Now we solve for x and y
x+y=53
y = 53 - x
Now plug in 53 - x in second equation
[tex]x + 10 (53 - x) = 182[/tex]
[tex]x + 530 - 10x = 182[/tex]
[tex] -9x + 530 = 182[/tex] (subtract 530 on both sides)
-9x= -348
[tex]x=\frac{116}{3}[/tex]
Recheck the numbers given in the question. because we got answer in fraction form.
We know y = 53 - x
[tex]y = 53 - \frac{116}{3} = \frac{43}{3}[/tex]
