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4 marksProblem Solving with Venn Diagrams

CSEC Mathematics · May/June 2005 · Paper 2 · Question 3(a)(i)

A Venn diagram shows the Universal set (U) representing all students in a class. Set M represents students taking Music, and set D represents students taking Drama. The regions are labeled 3x, x, and 7+x. 24 students take Music.

Calculate the number of students who take BOTH Music and Drama.

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Other parts of this question

  1. 3(a)(ii)Calculate the number of students who take Drama ONLY.[1 mark]
  2. 3(b)(i)Write down the equation of this line in the form y = mx + c.[5 marks]
  3. 3(b)(ii)Show that this line is parallel to the line 2x - 3y = 0.[2 marks]

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