Maths · Sharing a Total in a Given Ratio
Share Out
Share £220 between Ella and Kira in the ratio 5 : 6. How much more money does Kira get than Ella?
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Why this works
Add the ratio parts first: equal shares. , so every single share is worth £20. Kira holds 6 and Ella holds 5, so the gap is 1 x . Notice the shares add straight back up to 220 - nothing is left over, because the total was cut into 11 equal pieces in the first place.
Helping a child through Share Out
It runs in 2 steps
- 1. One share. Cut £220 into 11 equal shares. Set the block size until they fill the bar exactly.
- 2. Share out. How much more money does Kira get than Ella?
Hints, least revealing first
- The ratio 5 : 6 means the whole lot is cut into 11 equal shares, not 2.
- , so one share is worth £20.
- Kira takes 6 shares and Ella takes 5, a gap of 1 shares.
When they finish it: “Shared out exactly!”
11+ skill this exercise practises
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Share Out practises one skill. Maths has 55 of them
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