Question P6 Units and parts
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Alice, Bob, and Carol share a sum of money in the ratio 2 : 3 : 7. Carol's share is $168 more than Alice's share. Find the total sum.
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Cut one amount into equal shares. One number tells you what a share is worth.
In this one. A stated difference is not anybody's share — it is a count of units (7 − 2 = 5 of them), so dividing it by that count gives one unit, and an ugly unit value is still a perfectly good unit.
A single amount is split by a ratio, a fraction or a percentage. One extra number gives you the leftover, the difference, or the value of one share.
Children match the given number to the wrong number of shares, using the whole bar when the number covers only the leftover or the difference between two people's shares.
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