Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32. Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12. If the store has one price for toilet paper and one price for hand sanitizers what is the cost for each item sold?

The cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

Step-by-step explanation:

Given:

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32.

Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12.

Now, to find the cost for each item sold.

Let the cost of a roll of toilet paper be

And the cost of a bottle of hand sanitizer be

So, the cost of 4 rolls of toilet paper and 1 bottle of hand sanitizer:

Now, the cost of 6 rolls of toilet paper and 5 bottles of hand sanitizer:

Substituting the value of from equation (1):

Subtracting both sides by 60 we get:

Dividing both sides by -14 we get:

The cost of a roll of toilet paper = $2.

Now, substituting the value of in equation (1):

The cost of a bottle of hand sanitizer = $4.

Therefore, the cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.