SAT Math Multiple Choice Question 151: Answer and Explanation

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Question: 151

1. Marco is ordering salt, which is only sold in 30-pound bags. He currently has 75 pounds of salt, and he needs to have a minimum of 200 pounds. Which of the following inequalities shows all possible values for the number of bags, b, that Marco needs to order to meet his minimum requirement?

  • A. b ≥ 4
  • B. b ≥ 5
  • C. b ≥ 6
  • D. b ≥ 7

Correct Answer: B

Explanation:

B Because Marco already has 75 pounds of salt, he needs 200 - 75 = 125 additional pounds. Estimate the number of bags he needs. 125 is close to 120, and 120 ÷ 30 = 4, so he must need more than 4 bags (because 125 is more than 120). This means that Marco needs at least 5 more bags. Therefore, the correct answer is (B).

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