Question

Stephen, Paul & Bridget share some money in the ratio 3 : 4 : 2.

Answer 1

Answer:

  £40.

Step-by-step explanation:

In terms of ratio units, Stephen and Bridget together get 3+2 = 5, while Paul receives 4. That is, Paul gets 4/5 of their combined total, or ...

  4/5 · £50 = £40

Paul gets £40.

Answer 2

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  = $\frac{ratio of stephen and bridget}{total ratio} x total amount$

let the total amount = y;

                   50  = $\frac{3+2}{9}$ x y

                    $\frac{5y}{9}$  = 50

                      5y = 450  

                      y = 90

Now, the amount Paul got;

                         = $\frac{4}{9} x 90$

                          = 40

The amount Paul got is £40