ISEE Mathematics Achievement Question 307: Answer and Explanation

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Question: 307

7. On Monday, Sharon ate one-half of a fruit tart. On Tuesday, Sharon then ate one-fourth of what was left of the tart. What fraction of the tart did Sharon eat on Monday and Tuesday?

  • A.
  • B.
  • C.
  • D.

Correct Answer: C

Explanation:

C 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 picture of a fruit tart and divide it into 8 equal parts. Shade in the number of pieces she has eaten. On Monday, she ate of the pie, so of 8 is or 4 slices, leaving 4 slices for later. The next day, she ate of what was left. of 4 slices is 1, so she ate 1 slice. There are now 3 out of 8 slices left. Beware of choosing (A), however! The question asks how much she ate, so add up the slices she consumed. There should be 5 slices shaded (4 + 1 = 5), so the correct answer is (C).

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