SOLUTION: The weekly wages of Sam and Ben are in the ratio of 2:1. their living costs are in the ratio of 9:4. if each saves $100 per week, find their weekly income.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: The weekly wages of Sam and Ben are in the ratio of 2:1. their living costs are in the ratio of 9:4. if each saves $100 per week, find their weekly income.      Log On


   

Question 1095962: The weekly wages of Sam and Ben are in the ratio of 2:1. their living costs are in the ratio of 9:4. if each saves $100 per week, find their weekly income.
Answer by amalm06(224) About Me  (Show Source):
You can put this solution on YOUR website!
Let W1=Sam's Income, W2=Ben's Income
Let L1=Sam's Living Cost, L2=Ben's Living Cost
W1/W2=2/1 ---> W1=2W2
L1/L2=9/4 ---> L1=(9/4)L2
W1-L1=100 ---> W1=L1+100
W2-L2=100 ---> W2=L2+100
(L1+100)/(L2+100)=2/1
L1+100=2L2+200
(9/4)L2+100=2L2+200
100=(1/4)L2
L2=400
So W2=500
Therefore, Sam's income is $1000, Ben's income is $500