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Thank you for working out the money in our birthday present pot! We have had lots of suggestions from St Aldhelms School:
Matthew:
20 * £1.00 | = | £20.00 |
20 * 50p | = | £10.00 |
44 * 20p | = | £8.80 |
3 * 10p | = | 30p |
13 * 5p | = | 65p |
Total | £39.75 |
Justin:
7 * £1.00 | = | £7.00 |
48 * 50p | = | £24.00 |
43 * 20p | = | £8.60 |
1 * 10p | = | £0.10 |
1 * 5p | = | £0.05 |
Total | £39.75 |
Emma:
10 * £1.00 | = | £10.00 |
50 * 50p | = | £25.00 |
10 * 20p | = | £2.00 |
25 * 10p | = | £2.50 |
5 * 5p | = | 25p |
Total | £39.75 |
Daniel:
1 * £1.00 | = | £1.00 |
72 * 50p | = | £36.00 |
8 * 20p | = | £1.60 |
4 * 10p | = | 40p |
15 * 5p | = | 75p |
Total | £39.75 |
When you pay for things in shops you can give the money in lots of different ways, but in this case you had exactly 100 coins. Perhaps it is a little unexpected that there are all these different solutions. Are there any more?
Make a set of numbers that use all the digits from 1 to 9, once and once only. Add them up. The result is divisible by 9. Add each of the digits in the new number. What is their sum? Now try some other possibilities for yourself!
15 = 7 + 8 and 10 = 1 + 2 + 3 + 4. Can you say which numbers can be expressed as the sum of two or more consecutive integers?