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JAMB Mathematics 2009 Objective — Question 6

Question 6 of 50 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2009 Objective paper, with the correct answer and a full explanation.

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A student spent 1/5 of his allowances on books, 1/3 of the remainder on food and kept the rest for contingencies. What fraction was kept?

  • A. 7/15
  • B. 8/15Correct
  • C. 2/3
  • D. 4/5

Explanation

Total allowance = x. Fraction spent on books = x/5. Remainder = 4x/5. Fraction on food = (1/3)(4x/5) = 4x/15. Fraction kept = 4x/5 - 4x/15 = 8x/15, i.e. 8/15.

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