PK 2015 Q4
4. Three sisters bought a packet of biscuits for £1.50 and divided them equally among them, each receiving 10 biscuits. However, Anya paid 80 pence, Berini paid 50 pence and Carla paid 20 pence. If the biscuits had been divided in the same ratios as the amounts each sister had paid, how many more biscuits would Anya have received than she did originally?
- A 10
- B 9
- C 8
- D 7
- E 6
Pink Kangaroo 2015, Question 4. © UK Mathematics Trust. Original paper on ukmt.org.uk
Answer: E 6
Anya pays 80p out of a total of 80p + 50p + 20p = 150p. So if the biscuits had been divided in the same ratio as the payments, she would have received \(\dfrac{80}{150} \times 30 = 16\) biscuits. So she would have received \(16 - 10 = 6\) more biscuits.
Solution © UK Mathematics Trust, from the PK 2015 solutions.