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£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?

Respuesta :

mhanifa

Answer:

  • £12

Step-by-step 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
Hi1315

Answer:

£12

Step-by-step 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

[tex]x + 3x + 6x = 10x[/tex]

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

[tex]10x = 20 \\ \frac{10x}{10} = \frac{20}{10} \\ x = 2[/tex]

So, David will get £2

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

[tex]6x = 6 \times 2 \\ = 12[/tex]

He will get £12

Hope this helps you.

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

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