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Turner made spiced apple cider for a holiday party and divided it evenly among 1212 mugs. Each mug had more than 1010 fluid ounces of apple cider.\newlineLet xx represent how much apple cider Turner made. Which inequality describes the problem?\newlineChoices:\newline(A) x1210\frac{x}{12} \geq 10\newline(B) \frac{x}{12} > 10\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineTurner made more than ____ fluid ounces of apple cider.

Full solution

Q. Turner made spiced apple cider for a holiday party and divided it evenly among 1212 mugs. Each mug had more than 1010 fluid ounces of apple cider.\newlineLet xx represent how much apple cider Turner made. Which inequality describes the problem?\newlineChoices:\newline(A) x1210\frac{x}{12} \geq 10\newline(B) x12>10\frac{x}{12} > 10\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineTurner made more than ____ fluid ounces of apple cider.
  1. Define Problem: Let's define the problem: Turner divided the total amount of cider, xx, evenly among 1212 mugs, and each mug had more than 1010 ounces. We need to find the inequality that represents this situation and solve for xx.
  2. Find Inequality: To find the correct inequality, we consider that each mug has more than 1010 ounces. So, if xx is the total amount of cider, then each mug gets x12\frac{x}{12} ounces. Since each mug has more than 1010 ounces, the inequality is \frac{x}{12} > 10.
  3. Solve Inequality: Now, solve the inequality \frac{x}{12} > 10. Multiply both sides by 1212 to isolate xx: \newlinex > 10 \times 12\newlinex > 120.
  4. Final Answer: Turner made more than 120120 fluid ounces of apple cider. This answers the question and matches the correct choice (B)(B) from the given options.

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