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
by adding all the ratios
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`
Now put divide sign in
`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` |