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.

A table titled Cherry-Lime Slushies showing Amount in quarts, cost and total. The first row shows Cherry Juice, with c, 5 and 5 c. The second row shows, Lime Juice, with 9 minus c, 3, and 3 left-parenthesis 8 minus c right-parenthesis. The third row shows Mixture, and has, 8, blank, and 36.

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: A

Explanation:

Answer 2

5c + 3(8 - c) = 36

Explanation:

A restaurant freezes a cherry and lime juice mixture to create slashes. 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.

Therefore, if there are c quart of cherry juice, then the number of lime juice is (8 - c) quart as the total number of quarts is 8.

Now, the total cost is $36 and therefore, we can write the equation to find the number of quarts of cherry juice is

5c + 3(8 - c) = 36 (Answer)