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11111nata11111 [884]
3 years ago
11

£50 is divided between Krutika, Natasha & Richard so that Krutika gets twice as much as Natasha, and Natasha gets three time

s as much as Richard. How much does Krutika get?
Mathematics
2 answers:
g100num [7]3 years ago
7 0

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

AleksAgata [21]3 years ago
5 0

Answer:

£30

Step-by-step explanation:

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

<u>"Natasha gets three times as much as Richard"</u> - We can express the value that Natasha gets as 3r in terms of what Richard gets.

<u>"Krutika gets twice as much as Natasha"</u> - 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 :)

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