$x is divided among three boys, Ryan, Keith and Andrew, in the ratio 2 : 3 : 7, respectively. If Andrew gets $15 more than Keith, what is the value of x ?

Question

$x is divided among three boys, Ryan, Keith and Andrew, in the ratio 2 : 3 : 7, respectively.
If Andrew gets $15 more than Keith, what is the value of x ?

Answer 1

If you know how much $x is you write 2n+3n+7n=$x.

However Ryan is 2n, Keith is 3n, and Andrew is 7n.

Andrew gets $15 more than Keith.

7n=3n+$15

7n-3n=$15

4n=$15

n=$15/4

n=$3.75

Ryan gets 2*$3.75=$7.50

Keith gets 3*$3.75=$11.25

Andrew gets 7*$3.75=$26.25

$7.50:$11.25:$26.25=2:3:7

Also, $26.25-$11.25=$15.00

x=$7.50+$11.25+$26.25=$45.00