daligdigjaidely400 daligdigjaidely400
  • 24-06-2020
  • Mathematics
contestada

£10 is divided between Gordon, Malachy & Paul so that Gordon gets twice as much as Malachy, and Malachy gets three times as much as Paul. How much does Gordon get?

Respuesta :

Teebhabzie Teebhabzie
  • 28-06-2020

Answer:

£6

Step-by-step explanation:

Let the amount Paul gets be p.

Let the amount Malachy gets be m.

Let the amount Gordon gets be g.

Therefore:

p + m + g = 10 __________(1)

Gordon gets twice as much as Malachy, therefore:

g = 2m

Malachy gets 3 times as much as Paul, therefore:

m = 3p ____________(2)

=> g = 2(3p) = 6p _________(3)

Put 2 and 3 in 1:

p + 3p + 6p = 10

10p = 10

p = 10/10 = £1

Putting this value in (3):

g = 6 * 1 = £6

Gordon gets £6.

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