PK 2015 Q5
5. Each of the children in a class of 33 children likes either PE or Computing, and 3 of them like both. The number who like only PE is half as many as like only Computing. How many students like Computing?
- A 15
- B 18
- C 20
- D 22
- E 23
Pink Kangaroo 2015, Question 5. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E 23
There are three children who like both subjects, leaving 30 children to be shared in the ratio 2:1. Hence 20 like only Computer Science, 10 like only PE, 3 like both. The total number who like Computer Science is 20 + 3 = 23.
Solution © UK Mathematics Trust, from the PK 2015 solutions.