Sharing in a ratio

The idea

To share an amount in a ratio, find what one part is worth. Sharing $\text{£}60$ in the ratio $2 : 3$ makes $5$ parts of $\text{£}12$, so the shares are $\text{£}24$ and $\text{£}36$.

1. Add the ratio to find the number of parts.
2. Divide the amount by the number of parts to get one part.
3. Multiply one part by each number in the ratio. Check the shares add up to the amount.

Watch out If you are told one share or the difference between shares, divide by those parts, not by the total.