ECZ 2014 · O-Level Paper 1 — Sets

In the Venn diagram shown, 22 pupils take Physics and 20 pupils take Mathematics. Find x and y.

Diagram for ECZ 2014 · O-Level Paper 1
  • A. x = 7, y = 2
  • B. x = 7, y = 3
  • C. x = 11, y = 2
  • D. x = 14, y = 2

Verified working — step 1

Physics: 2x + 8 = 22, so x = 7. Mathematics: 3y + x + 2y + 3 = 20, i.e. 5y + 7 + 3 = 20, so 5y = 10 and y = …

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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