Question
Turner made spiced apple cider for a holiday party and divided it evenly among 12 mugs. Each mug had more than 10 fluid ounces of apple cider.
Let x represent how much apple cider Turner made. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Turner made more than fluid ounces of apple cider.
Let x represent how much apple cider Turner made. Which inequality describes the problem?
Solve the inequality. Then, complete the sentence to describe the solution.
Turner made more than fluid ounces of apple cider.
Answers
GPT-4o mini
To determine the inequality that describes the problem, we need to establish the relationship between the total amount of apple cider \( x \) and the amount in each mug.
Since Turner divided \( x \) ounces of apple cider evenly among 12 mugs, each mug contains \( \frac{x}{12} \) ounces. We are given that each mug has more than 10 fluid ounces, which can be expressed as:
\[
\frac{x}{12} > 10
\]
To solve for \( x \), we'll first multiply both sides of the inequality by 12 to eliminate the fraction:
\[
x > 10 \times 12
\]
Calculating the right-hand side:
\[
x > 120
\]
Thus, the inequality that describes the problem is:
\[
x > 120
\]
Now we can complete the sentence based on the solution:
Turner made more than **120** fluid ounces of apple cider.
Since Turner divided \( x \) ounces of apple cider evenly among 12 mugs, each mug contains \( \frac{x}{12} \) ounces. We are given that each mug has more than 10 fluid ounces, which can be expressed as:
\[
\frac{x}{12} > 10
\]
To solve for \( x \), we'll first multiply both sides of the inequality by 12 to eliminate the fraction:
\[
x > 10 \times 12
\]
Calculating the right-hand side:
\[
x > 120
\]
Thus, the inequality that describes the problem is:
\[
x > 120
\]
Now we can complete the sentence based on the solution:
Turner made more than **120** fluid ounces of apple cider.