Given parameters:
Ratio of their money = 3 : 4 : 2
Total amount received by Stephen and Bridget = 50
Unknown :
How much did Paul get = ?
Solution:
The amount Paul got is a fraction of the total.
We need to find the total amount first;
Amount Stephen and Bridget got = [tex]\frac{ratio of stephen and bridget}{total ratio} x total amount[/tex]
let the total amount = y;
50 = [tex]\frac{3+2}{9}[/tex] x y
[tex]\frac{5y}{9}[/tex] = 50
5y = 450
y = 90
Now, the amount Paul got;
= [tex]\frac{4}{9} x 90[/tex]
= 40
The amount Paul got is £40
