## 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.

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?

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2021-09-22T22:29:58+00:00
2021-09-22T22:29:58+00:00 2 Answers
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## Answers ( )

mathematical equation

Given:–Which equation can be used to determine the amount of cherry juice in each mixture?

A) 5c + 3(8 – c) = 36.

B) 5c + 3(8 – c) = 8.

C) c + (8 – c) = 8.

D) c + 5 = 5c.

Solution:–Let us assume that, the amount of cherry juice is

cquarts.given that, the total amount of the juice is

8 quarts.So,→ The amount of lime juice = Total amount + amount of cherry =

(8 – c) quarts.Now, we have given that,

→ cost of cherry juice is =

$5 / quart .and,

→ cost of lime juice =

$3 / quart.So,→ cost of c quarts of cherry juice = 5 * c =

$5c.and

→ cost of (8 – c) quarts of lime juice = 3 * (8 – c) =

$ 3(8 – c).Now, given that, the restaurant spends a total of

$36on 8 quarts of juice.Therefore,→ cost of cherry juice + cost of lime juice = Total amount spent.

→ 5c + 3(8 – c) = 36.

(OptionA)(Ans.)