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Question P5–P6 Units and parts

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Flour stock — cakes first, then bread

A baker used 30 kg of flour to bake cakes. This was of his total flour stock. After baking the cakes, he used of the remaining flour to bake bread. How many kilograms of flour did he use for the bread?

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Answer

The baker used 15 kg of flour for the bread. Check: 30 kg is 2/5 of 75 kg; 75 kg − 30 kg = 45 kg remains; and 1/3 of 45 kg is 15 kg.

About this method

Units and parts

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

In this one. Use the known 30 kg for 2 equal fifth-units to fix 1 unit at 15 kg, then keep every later quantity in kilograms.

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.

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