1. "The cakes were exactly two pounds, Mummy," said Linda. "I got three sorts." Mary smiled. "That sounds reasonable. What were the prices?" "Twelve pence, seventeen pence, and nineteen pence," the girl replied. "And I bought most of the cheapest." How many had she bought?

15 cakes: 7 at 12p, 6 at 17p, 2 at 19p

14 cakes: 8 at 12p, 5 at 17p, 1 at 19p

16 cakes: 9 at 12p, 4 at 17p, 3 at 19p