Ratio: Sharing in a Given Ratio

1. 1 Mix 1 spoon of squash with 4 spoons of water (or describe this). 'The ratio of squash to water is 1:4.' Display ratio notation. 'For every 1 part squash there are 4 parts water.' Discuss other real-life ratios.
2. 2 Share £30 in the ratio 2:3. 'How many parts in total? 2+3=5.' Divide £30 by 5 parts: 30÷5=£6 per part. 'First person gets 2 parts: 2×6=£12. Second gets 3 parts: 3×6=£18.' Check: 12+18=30 ✓
3. 3 Work through: 'Share 40 sweets in ratio 3:5.' Students identify total parts (8), value per part (5), then shares (15 and 25). Verify total. Repeat with 60 minutes shared 1:2:3 (three ways).
4. 4 A recipe uses flour and sugar in ratio 5:2. If you use 250g of flour, how much sugar? 'For every 5 parts flour there are 2 parts sugar — so for 50g flour there is 20g sugar — for 250g flour... 100g sugar.' Discuss scaling up and down.
5. 5 Students solve 5 sharing problems independently, including some where the total is given and some where one quantity is given.
6. 6 Show: 'Share £24 in ratio 1:3. Answer: £6 and £18.' Is this right? (No — total parts = 4, value per part = £6, shares = £6 and £18 — wait, that IS correct! Discuss how students can check.)
7. 7 If Tom gets £18 and the ratio is 2:3, how much does his friend get? Work backwards from a given share to find the total.

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