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? \\(\frac{x}{12} > 10\\) \\(\frac{x}{12} \geq 10\\) solve the inequality. then, complete the sentence to describe the solution. turner made more than \\(\square\\) fluid ounces of apple cider.

Explanation:

Step1: Identify the inequality

Turner divided \( x \) ounces of cider into 12 mugs, so each mug has \( \frac{x}{12} \) ounces. The problem states each mug had more than 10 ounces, so the inequality is \( \frac{x}{12} > 10 \).

Step2: Solve the inequality

To solve \( \frac{x}{12} > 10 \), multiply both sides by 12:
\( x > 10 \times 12 \)
\( x > 120 \)

Answer:

The inequality is \( \boldsymbol{\frac{x}{12} > 10} \), and Turner made more than \(\boldsymbol{120}\) fluid ounces of apple cider.