SOLUTION: Ron and Bryan are painters. After working for 8 hours, Ron was paid $12.00 more than Bryan. After working for 12 hours, Ron was paid $18.00 more than Bryan. What was the difference

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ron and Bryan are painters. After working for 8 hours, Ron was paid $12.00 more than Bryan. After working for 12 hours, Ron was paid $18.00 more than Bryan. What was the difference      Log On


   

Question 1179068: Ron and Bryan are painters. After working for 8 hours, Ron was paid $12.00 more than Bryan. After working for 12 hours, Ron was paid $18.00 more than Bryan. What was the difference between their hourly rates?
Found 2 solutions by ankor@dixie-net.com, greenestamps:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Ron and Bryan are painters.
After working for 8 hours, Ron was paid $12.00 more than Bryan.
After working for 12 hours, Ron was paid $18.00 more than Bryan.
What was the difference between their hourly rates?
:
let r = Ron's hourly rate
let b Bryan's hourly rate
:
"After working 8 hours, Ron was paid $12.00 more than Bryan."
8r - 8b = 12
simplify, divide by 8
r - b = $1.50 difference in hourly rate
:
We can confirm this in the 2nd statement
"After working for 12 hours, Ron was paid $18.00 more than Bryan."
12r - 12b = 18
simplify divide by 12
r - b = 1.5

Answer by greenestamps(13216) About Me  (Show Source):
You can put this solution on YOUR website!


The given information compares amounts of pay for the same numbers of hours, so
                       difference in pay     $12
Difference in rates = ------------------- = ----- = $1.50
                        number of hours       8

The information about the difference in pay for working 12 hours is superfluous....