Year 8 Interactive Maths - Second Edition

Dividing a Quantity in a Given Ratio

That is, AP = 3 cm and BP = 6 cm.

Conversely, if we know that the point P divides the line segment AB of length 9 cm in the ratio
1 : 2, we can determine the lengths of AP and BP as follows:

So, the lengths of AP and BP are 3 cm and 6 cm, respectively.

Check:

3 cm + 6 cm = 9 cm

Example 11

Find the total number of parts if the ratio is 3 : 5.

Solution:

Ratio is 3 : 5.

Example 12

Divide $35 in the ratio 2 : 3.

Solution:

Ratio is 2 : 3.

So, the first amount is $14 and the second amount is $21.

Example 13

Divide $600 between Karen and Kathy in the ratio 1 : 4.

Solution:

Ratio is 1 : 4.

So, Karen receives $120 and Kathy receives $480.