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 $215. Find the number of bills of each denomination that he has.

We can solve this problem by using logic. First we have to understand that if all the 53 bill were $10 bills, then the combined monetary value would be...

53 x $10 = 530$

Now we start to replace the $10 bills with 1$ and each time we replace 1 bill, the combined monetary value will decrease by...

$10 - $1 = $9

We also know that we need to decrease the combined monetary value all the way to $215, which mean there has to be...

(530 - 215) / 9 = 35 one dollar bills.

And now since we know there are 35 one-dollar bills, that means there has to be...

53 - 35 = 18 ten dollar bills

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 ​$215. Find the number of bills of each denomination that he has.

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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 $215. Find the number of bills of each denomination that he has.