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Estelle bought 33 pineapples to cut up and serve on a fruit platter. The pineapples each cost the same amount, and they cost less than $12\$12 in all.\newlineLet xx represent how much each pineapple cost. Which inequality describes the problem?\newlineChoices:\newline(A) 3x > 12\newline(B) 3x < 12\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineEach pineapple cost less than $\$___\_\_\_.

Full solution

Q. Estelle bought 33 pineapples to cut up and serve on a fruit platter. The pineapples each cost the same amount, and they cost less than $12\$12 in all.\newlineLet xx represent how much each pineapple cost. Which inequality describes the problem?\newlineChoices:\newline(A) 3x>123x > 12\newline(B) 3x<123x < 12\newlineSolve the inequality. Then, complete the sentence to describe the solution.\newlineEach pineapple cost less than $\$___\_\_\_.
  1. Define Total Cost Inequality: Estelle bought 33 pineapples, and the total cost was less than $12\$12. Let xx be the cost of each pineapple. We need to find the inequality that represents this situation.
  2. Calculate Total Cost: Multiply the cost of one pineapple by the number of pineapples to find the total cost: 3x3x. Since the total cost is less than $12\$12, the inequality is 3x < 12.
  3. Isolate x: To find how much each pineapple costs, solve the inequality 3x < 12. Divide both sides by 33 to isolate xx: x < \frac{12}{3}.
  4. Final Cost Calculation: Simplify 12/312 / 3 to get x < 4. This means each pineapple costs less than $4\$4.

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