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Post-UTME Mathematics 2017 Objective — Question 33

Question 33 of 50 from the Post-UTME Screening (Post-UTME) Mathematics 2017 Objective paper, with the correct answer and a full explanation.

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The table shows Sabra's grades for a class (Quiz Average 83%, Test Average 79%, Final Exam 88%). For her overall average, the test average counts twice as much as the quiz average, and the final exam counts twice as much as the test average. Sabra uses (83+79+79+88+88+88+88)÷7. Which of the following is another way to find her overall average?

  • A. 83 + 2(79) + 4(88), all over 7Correct
  • B. 83 + 0.2(79) + 0.4(88)
  • C. [83 + 2(79) + 4(88)] ÷ 0.7
  • D. [83 + 2(79) + 4(88)] ÷ 1/7 / E. [83 + 2(79) + 4(88)] x 1/7

Explanation

Dividing by reciprocal 1/7 is the same as dividing by 7, so [83+2(79)+4(88)]/7 is equivalent.

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