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Toby, Daoud and Elsa share a sum of money. Toby gets 1/6 of the money and Daoud gets 1/2 of the money. Elsa gets the rest of the money Toby gets £1.50 Work out how much money Daoud gets. Find the ratio amount of money Toby gets: amount of money Elsa gets Give your answer in the form a : b where a and are whole numbers

Respuesta :

Answer:

  • Daoud's share of the money  = £4.50
  • Toby's Money : Elsa's Money=1:2

Step-by-step explanation:

Let the total amount of the money = x

  • Toby gets 1/6 of the money
  • Toby gets £1.50

Therefore:

[tex]\dfrac16x=1.50\\x=1.50 \times 6\\x=\£$ 9[/tex]

Daoud gets 1/2 of the money.

Therefore: Daoud's share of the money

[tex]=\dfrac12 \times \£$ 9 =\£$ 4.50[/tex]

Elsa's Share of the money = 9-(4.50+1.50)=£3

Therefore:

Amount of money Toby gets: Amount of money Elsa gets

= 1.50: 3

Divide both sides by 1.50

Toby's Money : Elsa's Money=1:2

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