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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Maria 4 weeks 2021-09-22T22:29:58+00:00 2 Answers 0 views 0

Answers ( )

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    2021-09-22T22:31:12+00:00

    mathematical equation

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    2021-09-22T22:31:27+00:00

    Given : 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?

    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 c quarts.

    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 $36 on 8 quarts of juice.

    Therefore,

    → cost of cherry juice + cost of lime juice = Total amount spent.

    → 5c + 3(8 – c) = 36. (Option A) (Ans.)

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