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.Com
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)   (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)   (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....


RELATED QUESTIONS

Ron can mow the lawn in two hours more time than Paul. Working together they can mow the... (answered by ewatrrr)
Ron and pat leaves for the beach at the same point. Ron leaves first pat leaves 45 mins... (answered by ankor@dixie-net.com)
Ron and Landon are digging for the footer for a building. Ron can do the job alone in 20... (answered by josgarithmetic,greenestamps)
Ron earned $27.30 working 6 1/2 hours. How much would he earn working 20... (answered by josh_jordan)
Ron paid $14 for a book and 4 pens. The price of each pen was 5/8 the price of the book.... (answered by ikleyn)
Ron and Kathy are ticket-sellers at their class play. Ron is selling students tickets for (answered by ewatrrr)
ron takes two hours more than paul to mow the lawn . working togather they can mow the... (answered by ankor@dixie-net.com,Edwin McCravy)
Ron and Sam take 1 hour to paint 7/12 of the living room. Sam and Tom take 1 hour to... (answered by ikleyn)
Solve this application problem using a system of equations: Ron and Wanda are ticket... (answered by mananth)