Question

Luke’s has seven coins. He can make 11p with two of his coins. He can make 11p with three of his coins. He can make 11p with four of his coins. What are the seven coin that Luke’s has?

Answer 1

1p 2p 2p 2p 5p 5p 10p

Explanation:

Available coins that are less than 11p: 1p 2p 5p 10p

11p with two coins ⇒ 1p + 10p only

11p with three coins ⇒ 1p + 5p + 5p only

11p with three coins ⇒ 2p + 2p + 2p + 5p only

Therefore, the seven coins that Luke has are:

1p 2p 2p 2p 5p 5p 10p