Question

Alex and Ben were given a total of 240 pounds.they shared the money in the ratio of 5:7.work out how much money Ben received

Answer 1

Let , Alex share the money be 5x

and Ben share the money be 7x

Total money

5x + 7x = 240

12x=240

x=20

Ben recieved money =7×20

= 140 ANS.

I HOPE you Understand.

Answer 2

Answer :-    

Ben will receive £ 140    

Explanation :-    

Given :  

Total Money = 240 pounds  

Ratio = 5 : 7

To find :

Money Ben got    

Solution :  

Consider the money with Alex as 5x  Consider the money with Ben as 7x  

★ Equation : $\boxed{\sf{5x + 7x = 240}}$

$\sf{\implies} \: 5x + 7x = 240$

$\sf{\implies} \: 12x = 240$

$\sf{\implies} \: x =\dfrac{240}{12}$

$\sf{\implies} \: x = 20$  

Value of 5x  

$\sf{\implies}$ 5 × 20  

$\sf{\implies}$ 100    

Value of 7x  

$\sf{\implies}$ 7 × 20  

$\sf{\implies}$ 140  

 Alex = £ 100

Ben = £ 140  

$\therefore$Ben will receive £ 140