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

Answer:

The amount that Stephen receives is $\ 147$

Step-by-step 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

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

$(10y/3)=490$

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