Question

help me, please
Dan and Paul share some money in the ratio 11:5.
Dan decides this is unfair so he gives Paul £39 of his share to make the ratio 1:1.
How much did Paul originally have?

Answer 1

Answer:

Step-by-step explanation:

The ratio is 11 to 5, so it would be logical

to start guessing with these amounts:

D a n .....£ 110

P a ul . . .  .£ 50

 

Now if Dan gave away £30 and Paul gained it, they would have:

D an......£ 80

paul......£ 80

Answer:

Paul originally had £50.

Dan started with £110

 

 

Answer 2

The amount Paul originally have £65.

Step-by-step explanation:

Since we have given that

Ratio of amount of Dan and Paul = 11 : 5

Dan gives £39 to Paul to make the ratio = 1:1

So, it becomes,

$\dfrac{11x-39}{5x+39}=\dfrac{1}{1}\\\\11x-39=5x+39\\\\11x-5x=39+39\\\\6x=78\\\\x=\dfrac{78}{6}=13$

Hence, the amount Paul originally have = $13\times 5=65$

# learn more:

Dan and Paul share some money in the ratio 9:5. Dan decides this is unfair so he gives Paul £26 of his share to make the ratio 1:1. How much did Paul originally have?

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