Sure, let's solve how to share £20 in the ratio 2:3 step-by-step.
1. Determine the total number of parts in the ratio:
The ratio 2:3 means we have 2 parts for the first share and 3 parts for the second share.
[tex]\[
\text{Total parts} = 2 + 3 = 5
\][/tex]
2. Calculate the value of one part:
We need to divide the total amount, £20, by the total number of parts, which is 5.
[tex]\[
\text{Value of one part} = \frac{£20}{5} = £4
\][/tex]
3. Distribute the parts according to the ratio:
- For the first part (which is 2 parts):
[tex]\[
\text{Share for the first part} = 2 \times £4 = £8
\][/tex]
- For the second part (which is 3 parts):
[tex]\[
\text{Share for the second part} = 3 \times £4 = £12
\][/tex]
So, the final shares are:
- First share: £8
- Second share: £12
Therefore, when you share £20 in the ratio 2:3, the amounts are £8 for the first share and £12 for the second share.
