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Question P5–P6 The equal concept

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Marbles — red and blue boxes, matching fractions

of a box of red marbles equals of a box of blue marbles. The box of red marbles contains 30 marbles. How many blue marbles are there?

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Answer

27 blue marbles.

About this method

The equal concept

The question tells you a part of one pile equals a part of another.

In this one. When two fractions of two different wholes are equal, work out the number they both equal from the side you know, then climb back up the other side.

the two shaded parts are the same sizePile Aa third of APile Ba fifth of B

How to spot it

Two different groups each get their own fraction or percentage, and the question links them with 'the same as', 'twice as many as', or a shared cost across different units.

Common mistake

Children compare the two fractions without first relating them to a common whole. A smaller fraction of a larger group can be bigger than a larger fraction of a smaller group.

Practise a similar question

Standard The total cost of 2 identical files and 1 pen is $19.05. The total cost of 3 such files and 5 such pens is $44.50. Find the cost of 1 pen.
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