Bill runs a hot dog stand, and at the end of the day he has collected an assortment of $1, $5, and $10 bills. He discovers that the number of $1, $5, and $10 bills that he has is in the ratio of 10 : 5 : 1, respectively. How many $10 bills does he have? (1) The dollar value of his $1 bills equals the dollar value of his $10 bills. (2) Bill has a total of $225.

5

Step-by-step explanation:

Firstly, we know that the number of $10 bill is 1/10 of $1 and 1/5 times that of $5 bills.

We also know that the amount of $10 bills equal that of $1 bills and the total amount of bills we have is $225.

Now, let the amount of $10 be x. This means the amount of $1 bill is 10x and the amount of $5 bill is 5x.

Mathematically:

$10[x] + $1[10x] + $5[5x] = $225

$10x + $10x + $25x = $225

$45x = $225

x = $225/$45 = 5

This means she have only 5 $10 bills