Question

£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?

Answer 1

£30

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
`3r` in terms of what Richard gets.

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

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

`r+3r+6r=50`

`10r = 50`

`r=5`

∴ Richard gets £5.

Since the money Krutika gets can be expressed as
`6r`:

`6(5) = 30`

∴ Krutika gets £30.

Hope this helps :)

Answer 2

£30

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