SOLUTION: Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1600. What was the rate c

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they charged a total of $1600. What was the rate c      Log On


   

Question 1002247: Two mechanics worked on a car. The first mechanic worked for
5 hours, and the second mechanic worked for
15 hours. Together they charged a total of
$1600. What was the rate charged per hour by each mechanic if the sum of the two rates was
$150 per hour?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x, hours done first mechanic
y, hours done second mechanic

Account for hours - already described.
First mechanic, 5 hours
Second mechanic, 15 hours

Now, account for the money: 5x%2B15y=1600.

Description also said, if symbolized, x%2By=150.

Solve the system, system%285x%2B15y=1600%2Cx%2By=150%29.