Write five coins that have a total of 37 pence.
To help us work out how many coins we need to make 37 pence, we could partition this number into 10s and ones. 37 has three 10s, which is just 30, and seven ones. Which three coins could we use to make 30? Three 10s make 30. And which two coins could we use to make seven? Five plus two make seven. So we could use three 10-pence coins to make 30 — 10, 20, 30 — and a five- and a two-pence coin to make seven. 30 plus five is 35. 35 plus two is 37. Three lots of 10 makes 30, plus five plus two makes 37. Five coins that have a total of 37 pence are 10-, 10-, 10-, five-, and two-pence coins.
We could also make 30 pence using a 20-pence coin and two five-pence coins. Five and five is 10. 20 and 10 is 30. And we could make seven in the same way, five and two. So we could make 37 pence using three 10-pence coins, a five pence, and a two pence. We could also make 37 pence with a 20-pence coin, three five-pence coins, and a two-pence coins.
We already know we could make 30 pence from three 10-pence coins or from a 20-pence coin and two five-pence coins. But there’s another way. 20 and 10 makes 30. And we could make seven in a different way as well. We could make seven from a five-pence coin and two one-pence coins. 20p and 10p makes 30. Five plus one plus one makes seven.
We found three different ways to use five coins to make 37 pence. 10 plus 10 plus 10 plus five plus two, or 20 plus five plus five plus five plus two, or 20 plus 10 plus five plus one plus one. Each of these three different answers or three different possibilities is correct.