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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

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 restaura class=

Verified Answer :

SapphireMoon

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:

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:  \(5c+3(8-c)=36\)

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