Week 230 (7 January 2022)

Fred has been saving his pocket money and has six coins in his money box.

Fred picks five of the coins at random.

The most that Fred could pick is £4.60.

The least that Fred could pick is £2.70.

Work out how much money Fred has saved in his money box?

Answer:

The only possible combinations to make £4.60 with 5 coins are:

£2 + £1 + £1 + 50p + 10p

£2 + £2 + 20p + 20p + 20p

If we take away the biggest coin (£2) in both cases, we are left with £2.60 and so would need the sixth coin to be a 10p to make £2.70.

So the total of the six coins = £4.60 + 10p = £4.70