Proportion

Proportion

IGCSE,mathematics,Cambridge,examination,ratio,block model,algebra,diagrams,partitions

This item is taken from IGCSE Mathematics (0580) Paper 43 of May/June 2014.

To deal with this item, let us summarize the details of the problem:
(a) Syllabus area: Algebra
(b) Specific topic: Ratio and Proportion

Let us start with representing the given in different ways.
First, we could use a diagram to separate the proportion.

We can also use block model to represent the divisions/partitions.

Using the diagram and/or the block model, we can already find the missing quantity.

We can also use algebraic method in solving the problem:

Another method of finding the missing quantity is:

Therefore, there 20,346 bottles of orange juice sold.

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