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

£12

Explanation:

Let the David's money be x

If David gets = x

Dan will get = 3x

Colin gets = 3x x 2

= 6x

So, the total money can be write as

`x + 3x + 6x = 10x`

So, now let's find the amount of money which David have

`10x = 20 \\ (10x)/(10) = (20)/(10) \\ x = 2`

So, David will get £2

And now let's find the amount of money which Colin will get

`6x = 6 * 2 \\ = 12`

He will get £12

Hope this helps you.

Let me know if you have any other questions :-):-)

Answer 2

• £12

Explanation:

Let Colin - x, Dan - y, David - z.

We have:

• x + y + z = 20
• x = 2y
• y = 3z

Substitute and solve for z:

• 2y + y + z = 20
• 3y + z = 20
• 3(3z) + z = 20
• 10z = 20
• z = 2

Now find x and y:

• y = 3*2 = 6
• x = 2*6 = 12