Question

£20 is divided between Colin, Dan & David so that Colin gets twice as much as Dan, and Dan gets three times as much as David. How much does Colin get?

Answer 1

Given: £20 is divided between Colin, Dan & David so that Colin gets twice as much as Dan, and Dan gets three times as much as David.

To find: How much does Colin get?

Solution:

• Let C represents Colin, D represents Dan and V represents David.

• Now we have given that Colin gets twice as much as Dan:  

               C = 2D          .....(i)

• Dan gets three times as much as David:

               D = 3V         ......(ii)

• The total sum of money is C + D + V = 20  ........(iii)

• Putting (i), (ii) in (iii), we get:

              2D + D + D/3 = 20

              6D + 3D + D = 60

              10D = 60

              D = 6

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

             C = 2(6)

             C = £12

Answer:

               So Colin gets £12.

Answer 2

Answer:

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