£800 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three times as much as Stephen. How much does Richard get?

Answer:

Richard gets £240

Step-by-step explanation:

Let

Stephen's share = x

Richards share = 3x

Natasha's share = 2(3x)

Total money = £800

Total money = Stephen's share + Richards share + Natasha's share

800 = x + 3x + 2(3x)

800 = 4x + 6x

800 = 10x

Divide both sides by 10

x = 800 / 10

= 80

x = £80

Stephen's share = x = £80

Richards share = 3x

= 3(80)

= £240

Natasha's share = 2(3x)

= 2(240)

= £480

Richard gets £240

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