PK 2017 Q6
6. One-eighth of the guests at a wedding were children. Three-sevenths of the adult guests were men. What fraction of the wedding guests were adult women?
- A \(\dfrac{1}{2}\)
- B \(\dfrac{1}{3}\)
- C \(\dfrac{1}{5}\)
- D \(\dfrac{1}{7}\)
- E \(\dfrac{3}{7}\)
Pink Kangaroo 2017, Question 6. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: A \(\dfrac{1}{2}\)
Seven-eighths of all the guests were adults, of which three-sevenths were men, so the fraction of guests who were adult women equals \(\tfrac{7}{8} \times \tfrac{4}{7} = \tfrac{1}{2}\).
Solution © UK Mathematics Trust, from the PK 2017 solutions.