SAT Math Multiple Choice Question 125: Answer and Explanation

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Question: 125

5. Dr. Goldberg, a noted dietician, mixes different solutions as part of her research into sugar substitutes. By weight, she mixes 40% of a sample of substitute A and 70% of a sample of substitute B to create substitute C. If Dr. Goldberg initially had 60 grams of substitute A and 110 grams of substitute B, then what would be the weight, in grams, of substitute C ?

  • A. 24
  • B. 77
  • C. 101
  • D. 170

Correct Answer: C

Explanation:

C Dr. Goldberg takes 40% of substitute A, which consists of 60 grams. Mathematically, this can be expressed as (60) or (0.4)(60) = 24 grams. She takes 70% of substitute B, which consists of 110 grams. Mathematically, this can be expressed as (110) or (0.7)(110) = 77 grams. Substitute C will therefore consist of 24 grams + 77 grams = 101 grams, which is (C).

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