Question

A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.

Which equation can be used to determine the amount of cherry juice in each mixture?
5c + 3(8 – c) = 36
5c + 3(8 – c) = 8
c + (8 – c) = 8
c + 5 = 5c

Answer 1

5c + 3(8-c) = 36. $5 per quart of cherry juice, plus $3 per quart of lime (the number of which adds to 8 with the cherry amount) = $36 spent.

Answer 2

The correct option will be:
`5c+3(8-c)=36`

Explanation:

Suppose, the amount of cherry juice is
`c` quarts.

As, the total amount of the juice is 8 quarts, so the amount of lime juice will be:
`(8-c)` quarts.

Given that, cherry juice costs $5 per quart and lime juice costs $3 per quart.

So, the cost of
`c` quarts of cherry juice
`= 5c` dollars and the cost of
`(8-c)` quarts of lime juice
`=3(8-c)` dollars.

Thus, the total cost of the mixture will be:
`5c+3(8-c)` , which is given as $36.

So, the equation that can be used to determine the amount of cherry juice in each mixture will be:
`5c+3(8-c)=36`