SAT Math Multiple Choice Question 222: Answer and Explanation

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Question: 222

12. Hua needs to receive completed surveys from at least 3,800 potential voters in her city. She has noticed that for every 5 surveys she sends out, only 1 survey is completed. Last week she received 1,350 completed surveys, and this week she received 900 completed surveys. Hua plans to send out s additional surveys. Which of the following inequalities shows all possible values for s that would ensure that Hua receives 3,800 completed surveys?

  • A. s ≥ 1,550
  • B. s ≥ 2,250
  • C. s ≥ 7,750
  • D. s ≥ 12,250

Correct Answer: C

Explanation:

C So far, Hua has received 1,350 + 900 = 2,250 surveys. Hua needs 3,800 - 2,250 = 1,550 additional surveys. Given that Hua receives 1 completed survey for every 5 she sends out, she will need to send out at least 5 × 1,550 = 7,750 surveys. Therefore, the correct answer is (C).

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