Web Analytics

Snap Your Questions, Uncover the Solutions

contact us

Contact Info

Questions › Math

Math Asked by a SnapAndSolve user · about 2 hours ago

In a class, (k + 22) pupils like English (E), (2k - 5) pupils like Mathematics (M) only. 10 pupils like...

21. In a class, (k + 22) pupils like English (E), (2k - 5) pupils like Mathematics (M) only. 10 pupils like both English and Mathematics while 3 pupils like none of the two subjects.
(a) Use the above information to complete the Venn diagram below (02 marks)
(b) Given that 45 pupils like mathematics, find the value of k (2 marks)
(c) A pupil is picked at random to lead the discussion, find the probability of picking a pupil who doesn't like English.

Answer

  1. (a) The Venn diagram is completed as follows:
    English only: (k + 22 - 10) = k + 12
    Mathematics only: (2k - 5)
    Both: 10
    None: 3

  2. (b) Given that 45 pupils like mathematics:
    (2k - 5) + 10 = 45
    2k + 5 = 45
    2k = 40
    k = 20

  3. (c) Total pupils = (k + 22) + (2k - 5) + 3 = 67
    Pupils who don't like English = (2k - 5) + 3 = 2k - 2
    Probability = (2k - 2) / 67 = (2(20) - 2) / 67 = 38 / 67

Have a similar question?

Snap a photo of your homework and get a step-by-step answer in seconds. You can ask follow-up questions until it makes sense.

Solve my question free Math help Find a math tutor

More math questions

© 2026 SnapAndSolve

Math solver Physics solver Chemistry solver Homework helper