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

Sarah would get 294

Explanation:

294

Answer 2

£ 294

Explanation:

Let Caroline get "c"

Sarah get "s"

ad

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 + ((1)/(3)s)=980\\3(1)/(3)s=980\\`

Now, we solve for s:

`3(1)/(3)s=980\\(10)/(3)s=980\\s=(980)/((10)/(3))\\s=980*(3)/(10)\\s=98*3\\s=294`

Sarah gets £ 294