Question
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.
Lexi made more than fluid ounces of punch.
Let x represent how much punch Lexi made. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Lexi made more than fluid ounces of punch.
Answers
GPT-4o mini
Let \( x \) represent the total amount of fruit punch that Lexi made in fluid ounces. Since she split the punch equally among 50 cups, the amount of punch in each cup would be \( \frac{x}{50} \).
According to the problem, there was more than 8 fluid ounces of punch in each cup. We can write this as an inequality:
\[
\frac{x}{50} > 8
\]
To solve for \( x \), we can first multiply both sides of the inequality by 50:
\[
x > 8 \times 50
\]
Calculating the right side:
\[
x > 400
\]
Thus, the solution to the inequality indicates that Lexi made more than 400 fluid ounces of punch.
We can now complete the sentence:
Lexi made more than **400** fluid ounces of punch.
According to the problem, there was more than 8 fluid ounces of punch in each cup. We can write this as an inequality:
\[
\frac{x}{50} > 8
\]
To solve for \( x \), we can first multiply both sides of the inequality by 50:
\[
x > 8 \times 50
\]
Calculating the right side:
\[
x > 400
\]
Thus, the solution to the inequality indicates that Lexi made more than 400 fluid ounces of punch.
We can now complete the sentence:
Lexi made more than **400** fluid ounces of punch.