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JAMB Mathematics 2025 Objective — Question 36

Question 36 of 40 from the Joint Admissions and Matriculation Board (JAMB) Mathematics 2025 Objective paper, with the correct answer and a full explanation.

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A mixture contains water and alcohol in the ratio 5:3. If 8 litres of water is added, the new ratio becomes 7:3. What is the original volume of the mixture?

  • A. 24litres
  • B. 20litres
  • C. 16litres
  • D. 32litresCorrect

Explanation

Let volumes be 5x and 3x. (5x+8)/3x=7/3 ⇒ 15x+24=21x ⇒ x=4. Original volume=8x=32 litres.

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