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2 marksProblem Solving with Venn Diagrams

CSEC Mathematics · May/June 2009 · Paper 2 · Question 3(a)(iii)

In a survey of 50 students, 23 owned cellular phones, 18 owned digital cameras, x owned both, and 2x owned neither. C represents the set of students owning cellular phones, and D represents the set of students owning digital cameras.

Calculate the value of x.

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Other parts of this question

  1. 3(a)(i)Copy and complete the Venn diagram below to represent the information obtained from the survey.[2 marks]
  2. 3(a)(ii)Write an expression in x for the TOTAL number of students in the survey.[1 mark]
  3. 3(b)(i)Using a ruler, a pencil, and a pair of compasses, construct the rhombus PQRS accurately.[4 marks]
  4. 3(b)(ii)Join QS. Measure and state, in centimetres, the length of QS.[2 marks]

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