SSAT Math Question 624: Answer and Explanation

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Question: 624

5. On Wednesday, Miguel ate one-fourth of a pumpkin pie. On Thursday, he ate one-half of what was left of the pie. What fraction of the entire pie did Miguel eat on Wednesday and Thursday?

  • A.
  • B.
  • C.
  • D.

Correct Answer: C

Explanation:

When there are percents or fractions without a starting or ending value in the question stem, feel free to Plug In. What number would make the math easy? 8 is a common denominator for and , so draw a circle and divide it into 8 equal parts. Shade in the number of pieces he has eaten. On Wednesday, he ate of the pie, so of 8 is 2 slices, leaving 6 slices for later. The next day, he ate of what was left. Half of 6 slices is 3, so he ate 3 slices. There are now 3 out of 8 slices left. Beware of choosing (A), however! The question asks how much he ate, so add up the slices he consumed. There should be 5 slices shaded (2 + 3 = 5), so the correct answer is (C).

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