SAT Math Multiple Choice Question 85: Answer and Explanation

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Question: 85

10. Dogs need 8.5 to 17 ounces of water each day for every 10 pounds of their weight. Everett has two dogs-Ringo is a 35-pound black lab mix, and Elvis is a 55-pound beagle. Which of the following ranges represents the approximate total number of ounces of water, w, that Elvis and Ringo need in a week?

  • A. 77 ≤ w ≤ 153
  • B. 109 ≤ w ≤ 218
  • C. 536 ≤ w ≤ 1,071
  • D. 765 ≤ w ≤ 1,530

Correct Answer: C

Explanation:

C Taking the two dogs together, Everett has 35 + 55 = 90 pounds of dog. Set up the following proportion to determine the lowest amount of water the dogs need per day: . Cross-multiply to get 10x = 765, so x = 76.5. Multiply by 7 days to get the weekly amount of water the dogs need: 76.5 × 7 = 535.5 ounces, or approximately 536 ounces. Only (C) includes 536 as the low-end amount. Therefore, the correct answer is (C).

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