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Scarlett bought a bag of soil for some new plants. She divided it evenly into 55 clay pots and put more than 66 quarts of soil into each pot.\newlineLet xx represent how many quarts of soil were in the bag. Which inequality describes the problem?\newlineChoices:\newline(A) \frac{x}{5} > 6\newline(B) x56\frac{x}{5} \geq 6\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineThere were more than ____ quarts of soil in the bag.

Full solution

Q. Scarlett bought a bag of soil for some new plants. She divided it evenly into 55 clay pots and put more than 66 quarts of soil into each pot.\newlineLet xx represent how many quarts of soil were in the bag. Which inequality describes the problem?\newlineChoices:\newline(A) x5>6\frac{x}{5} > 6\newline(B) x56\frac{x}{5} \geq 6\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineThere were more than ____ quarts of soil in the bag.
  1. Understand Problem & Inequality: Understand the problem and set up the inequality. Scarlett divided the soil into 55 pots, and each pot got more than 66 quarts. So, if xx is the total amount of soil, each pot gets x5\frac{x}{5} quarts. Since each pot has more than 66 quarts, the inequality is \frac{x}{5} > 6.
  2. Solve Inequality: Solve the inequality.\newlineTo find the total amount of soil, multiply both sides of the inequality by 55.\newline\frac{x}{5} > 6\newlinex > 6 \times 5\newlinex > 30

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