To determine how much money Georgia gets when Gary and Georgia split £56 in the ratio 2:5, follow these steps:
1. Understand the Ratio:
The ratio 2:5 means that for every 2 parts that Gary gets, Georgia gets 5 parts.
2. Calculate the Total Number of Parts in the Ratio:
Add the two parts of the ratio together:
[tex]\[
2 + 5 = 7
\][/tex]
This means there are a total of 7 parts.
3. Determine the Value of Each Part:
To find the value of each part, divide the total amount of money by the total number of parts:
[tex]\[
\text{Value of each part} = \frac{£56}{7} = £8
\][/tex]
4. Calculate Georgia's Share:
Since Georgia gets 5 parts of the ratio, multiply the value of each part by 5:
[tex]\[
\text{Georgia's share} = 5 \times £8 = £40
\][/tex]
Therefore, Georgia gets £40.
