SAT Math Multiple Choice Question 168: Answer and Explanation

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Question: 168

3. A developer is creating a plan for a 44-acre park that includes a 4-acre lake that cannot be developed. If 8 to 10 acres, inclusive, must be reserved for soccer fields, which of the following inequalities shows all possible values for p, the amount of land that within the park that is available for development?

  • A. 26 ≤ p ≤ 40
  • B. 30 ≤ p ≤ 32
  • C. 34 ≤ p ≤ 36
  • D. 36 ≤ p ≤ 40

Correct Answer: B

Explanation:

B In order to find the undeveloped area, take the entire area of the park and subtract the area of the developed portions. Subtract the 4 acre lake to get 44 - 4 = 40 undeveloped acres. Next, subtract the largest and smallest possible soccer field area: 40 - 10 = 30, and 40 - 8 = 32. Therefore, the correct answer is (B).

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