Amotel 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. find the number of bills of each denomination that he has. the clerk ones and tens.

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

(subtract 530 on both sides)

-9x= -348

Recheck the numbers given in the question. because we got answer in fraction form.

We know y = 53 - x

the function makes a strait line horizontally with no x intercept but a y intercept at 9.