Question

£980 is divided between Caroline, Sarah & Gavyn so that Caroline gets twice as much as Sarah, and Sarah gets three times as much as Gavyn. How much does Sarah get?

Answer 1

Answer:

£ 294

Step-by-step explanation:

Let Caroline get "c"

Sarah get "s"

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Gavyn get "g"

Now,

Caroline gets TWICE as Sarah, so we write:

c = 2s

Also,

Sarah gets THREE times as Gavyn, so we can write:

s = 3g

or

g = (1/3)s

Also, total is 980 between 3 person, so we can write:

c + s + g = 980

We replace this equation with first 2 (in bold) to get:

$c + s + g = 980\\(2s) + s + (\frac{1}{3}s)=980\\3\frac{1}{3}s=980$

Now, we solve for s:

$3\frac{1}{3}s=980\\\frac{10}{3}s=980\\s=\frac{980}{\frac{10}{3}}\\s=980*\frac{3}{10}\\s=98*3\\s=294$

Sarah gets £ 294

Answer 2

Answer:

Sarah would get 294

Step-by-step explanation:

294