£130 is divided between Dan, David & Mark so that Dan gets twice as much as David, and David gets three times as much as Mark. How much does Dan get?

£78

Step-by-step explanation:

Given:

£130 is divided between  Dan, David & Mark so that Dan gets twice as much as David, and David gets three times as much as Mark.

To find: How much does Dan get?

Solution:

Let D represents Dan, V represents David and M represents Mark.

Now we have given that Dan gets twice as much as David:  

              D = 2V          (i)  

David gets three times as much as Mark

              V = 3M         (ii)

The total sum of money is D + V + M = 130  (iii)

Putting (i), (ii) in (iii), we get:

             2V + V + V/3 = 130

             6V + 3V + V = 390

             10V = 390

             V = 39

Putting the value of V in (i), we get:

             D = 2(39)

            D = £78

Therefore, Dan gets £78