Sharing in a given ratio

Lots of things in everyday life are shared in . Money is shared, liquids are mixed and teams are assigned using ratios.

Drawing a table to represent the ratio can make these tasks easier.

Example

James and Helen get pocket money in the ratio . The total amount of pocket money they are given is £32. How much money do they each get?

The amount is divided into 8 equal parts since . Draw a rectangle with 8 sections and divide it in the ratio , labelling the two parts with the names James and Helen. Since James’ name comes first he gets three of the parts as the 3 is the first number in the ratio. Helen gets 5 parts, since her name is second.

Share the £32 between the 8 parts by dividing 32 by 8 and put the amount into each part of the diagram.

James (3)Helen (5)
£4£4£4£4£4£4£4£4

The table shows that:

• James gets
• Helen gets

This can also be done when are involved.

Example

To make pink paint, red and white paint can be mixed in the ratio . If you need to make 4 litres of paint, how much red and white paint would you need?

The ratio has parts.

4 divided by 3 =

Each part is worth litres.

Red (1)White (2)

Each part is worth litres.

The table shows that:

• the amount of red paint needed is
• the amount of white paint needed is