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

Answer:

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

Step-by-step 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:  $5c+3(8-c)=36$

Answer 2

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.