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Stephen, Paul & Bridget share some money in the ratio 3 : 4 : 2. In total, Stephen and Bridget receive £50. How much does Paul get?

Respuesta :

Answer:

The money receive by Paul is  [tex]\pounds 40[/tex].

Step-by-step explanation:

Given as :

The ratio of share of money among three people as

Stephen : Paul : Bridget = 3 : 4 : 2

The total money receive by Stephen and Bridget = [tex]\pounds 50[/tex]

Let The money receive by Stephen = 3 x

Let The money receive by Paul = 4 x

Let The money receive by Bridget = 2 x

Now, According to question

The total money receive by Stephen and Bridget = [tex]\pounds 50[/tex]

I.e 3 x + 2 x =  [tex]\pounds 50[/tex]

i.e 5 x =  [tex]\pounds 50[/tex]

∴    x = [tex]\frac{\pounds 50}{5}[/tex]  

    x =  [tex]\pounds 10[/tex]

So, The money receive by Stephen = 3 × [tex]\pounds 10[/tex] = [tex]\pounds 30[/tex]

Let The money receive by Paul = 4 × [tex]\pounds 10[/tex] = [tex]\pounds 40[/tex]

Let The money receive by Bridget = 2 × [tex]\pounds 10[/tex] = [tex]\pounds 20[/tex]

Hence The money receive by Paul is  [tex]\pounds 40[/tex]. Answer

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