isabelcamacho5903 isabelcamacho5903
  • 16-01-2020
  • Mathematics
contestada

£70 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 Natasha get?

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sqdancefan
sqdancefan sqdancefan
  • 16-01-2020

Answer:

  £42

Step-by-step explanation:

The ratio of Richard's amount to Stephen's amount is ...

  R : S = 3 : 1

The ratio of Natasha's amount to Richard's amount is ...

  N : R = 2 : 1 = 6 : 3

Then the ratio of all three amounts is ...

  N : R : S = 6 : 3 : 1

The proportion of the total that Natasha gets is ...

  6/(6+3+1) = 6/10

so she gets ...

  (6/10)×£70 = £42

Natasha gets £42.

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