Question

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Lexi made fruit punch for her Fourth of July party and split it equally among 50 cups. There was more than 8 fluid ounces of punch in each one.
Let x represent how much punch Lexi made. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution

Answer 1

The inequality representing the amount of punch Lexi made (x) for 50 cups with more than 8 fluid ounces in each is x > 400. Lexi must have made more than 400 fluid ounces of fruit punch in total.

Step-by-step explanation:

To find which inequality describes the problem of Lexi making fruit punch and splitting it equally among 50 cups with more than 8 fluid ounces in each, we use the variable x to represent the total amount of punch she made. Each cup must have more than 8 ounces, so for 50 cups, the inequality is:

x > 50 × 8

This inequality means that the total amount of punch (x) must be greater than 400 ounces, as there are 50 cups and each must have more than 8 ounces of punch. To solve this inequality, we multiply 50 by 8:

50 × 8 = 400

Therefore, Lexi must have made more than 400 fluid ounces of fruit punch. This represents the minimum amount of punch she needs for the 50 cups, with each cup containing more than 8 fluid ounces.