SOLUTION: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). Mary’s hourly wage is

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s). Mary’s hourly wage is      Log On


   

Question 1095770: Solve by setting up the proper equation to describe the facts given and then carrying out the mathematical calculations to solve for the unknown variable(s).
Mary’s hourly wage is twice that of John’s. John’s and Dennis’ hourly wages together total $60. If Dennis earns 1/3 of John’s rate, what does Mary make per hour?
Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


M+=+2J Mary’s hourly wage is twice that of John’s

D%2BJ+=+60 John’s and Dennis’ hourly wages together total $60

J+=+3D Dennis earns 1/3 of John’s rate (i.e., John earns 3 times as much as Dennis)

Solving should be relatively easy.

Use the third equation to substitute in the second equation to solve for D; then use the third equation to solve for J; then use the first equation to solve for M.