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Question P4–P5–P6 Units and parts

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Four boys' money — Peter's share

Four boys received a sum of money. Mike received $10 less than Nate. Owen received twice as much money as Nate. Peter received $6 less than Owen. The four boys received $80 in total. How much money did Peter receive?

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About this method

Units and parts

Cut one amount into equal shares. One number tells you what a share is worth.

In this one. Every boy's share is described from Nate's bar, so the four bars are 6 whole units with $10 and $6 cut off — put those two shortfalls back onto the total and the units become equal.

In allone share

How to spot it

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.

Common mistake

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.

Practise a similar question

Standard Four classmates saved money for a class trip. Liam saved $15 less than Sara. Priya saved twice as much as Sara. Tom saved $9 less than Priya. Altogether the four classmates saved $126. How much did Tom save?
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