Question

?490 is divided between Richard, Stephen & Bridget so that Richard gets twice as much as Stephen, and Stephen gets three times as much as Bridget. How much does Stephen get?

Answer 1

The amount that Stephen receives is
`\$147`

Explanation:

Let

x-------> amount Richard receives

y------> amount Stephen receives

z------> amount Bridget receives

we know that

`x+y+z=\$490` ------> equation A

`x=2y` -----> equation B

`y=3z`

`z=y/3` ----> equation C

substitute equation B and equation C in equation A and solve for y

`(2y)+y+(y/3)=490`

`(10y/3)=490`

`y=490*3/10=\$147`