Question

Stephen and Bridget win some money and share it in the ratio 4:1. Stephen gets £27 more than Bridget. How much did Bridget get?

Answer 1

Step-by-step explanation:

I would start by breaking those ratios up into equations that we can use to plug in and solve to other equations.  If we know Emily has 7/2 more than Liam, then we can say...

 

e = 7/2*l

 

We are also given...

 

e = l + 80

 

So now we can solve for Liam.

 

e = l+ 80 = 7/2*l

80 = 7/2l - l

80 = 5/2*l

32 = l

 

So now we can get Emily's share:

 

e = l+80

e = 32+80

e=112

 

And since we know that Sarah gets 3/2 more than Liam, we can also get her share:

 

s = 3/2 * l

s = 3/2 * 32

s = 48

 

Finally, we can check these answers by making sure Emily and Sarah are at a 7:3 ratio.

 

e:s

112:48

(16*7):(16*3)

7:3

Answer 2

Given :

Ratio in which money is divided between Stephen and Bridget = 4 : 1

Money that Stephen gets more than Bridget = $27

To find :

Amount of money that Bridget gets .

Solution :

Let the ratio of sharing between Stephen and Bridget be 4x and x

respectively .

According to the question ,

Stephen gets  $27 more than Bridget .

then ,

  4x - x = 27

→ 3x = 27

→ x = 9

Amount of money that Bridget gets  = $ 9