2 part ratio and dividing up amounts

Ratios are used to divide a large amount up. The best way to tackle these are

Work out 1 part

Example 1

Fiona worked for 2 days on a farm and Molly worked 3 days on the farm. The farmer gave them £250. What would be the fairest way to split the money?

So the ratio is Fiona 2: Molly 3

Add ratio =2+3=5 parts in all.

Now work out 1 part

(see our section on percentages for full explanation)

5\ parts=£250

1\ part=£x

5/1=(250)/x

Rearrange

x=250/5times1

x=250/5

x=50

1\ part=£50

Therefore

 Fiona 2 =2times£50 = £100 Molly 3 =3times£50 = £150 Total = £250