Increasing or Decreasing a Quantity in a Given Ratio

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Year 8 Interactive Maths - Second Edition

Increasing or Decreasing a Quantity in a Given Ratio

If the ratio of a new quantity to an old quantity can be expressed as an improper fraction, then the new quantity is greater than the old quantity. Applying this ratio to the old quantity is known as increasing the old quantity in a given ratio.

If the ratio of a new quantity to an old quantity can be expressed as a proper fraction, then the new quantity is less than the old quantity. Applying this ratio to the old quantity is known as decreasing the old quantity in a given ratio.

Example 8

Increase 20 in the ratio 3 : 2.

Solution:

Example 9

Decrease 32 in the ratio 3 : 4.

Solution:

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