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£50 is divided between Krutika, Natasha & Richard so that Krutika gets twice as much as Natasha, and Natasha gets three times as much as Richard. How much does Krutika get?

Respuesta :

S1NGH

Answer:

£30

Step-by-step explanation:

→ Model the situation in terms of x

Richard = x, Natasha = 3x and Krutika = 6x

→ Now put the values into ratio form

6x : 3x : x = 50

→ Collect the x terms

10x = 50

→ Divide both sides by 10 to isolate

x = 5

→ Substitute x = 5 into Krutika

6 × 5 = 30

goodLizard

Answer:

£30

Step-by-step explanation:

Let's break down the information given to help us find how much Krutika gets.

"Natasha gets three times as much as Richard" - We can express the value that Natasha gets as [tex]3r[/tex] in terms of what Richard gets.

"Krutika gets twice as much as Natasha" - We can express this as [tex]2(3r)[/tex] which equals [tex]6r[/tex].

We know that the total money is £50, so we can write the equation:

[tex]r+3r+6r=50[/tex]

[tex]10r = 50[/tex]

[tex]r=5[/tex]

∴ Richard gets £5.

Since the money Krutika gets can be expressed as [tex]6r[/tex]:

[tex]6(5) = 30[/tex]

∴ Krutika gets £30.

Hope this helps :)

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