SOLUTION: Tommy and Max start a lawn care business. They both charge by the hour for mowing and raking leaves. One week Tommy mowed lawns for 10 hours and raked leaves for 6 hours and earned

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Tommy and Max start a lawn care business. They both charge by the hour for mowing and raking leaves. One week Tommy mowed lawns for 10 hours and raked leaves for 6 hours and earned      Log On


   

Question 856381: Tommy and Max start a lawn care business. They both charge by the hour for mowing and raking leaves. One week Tommy mowed lawns for 10 hours and raked leaves for 6 hours and earned a total of $114. In the same week, Max mowed lawns for 8 hours and raked leaves for 9 hours and earned a total of $118.50. Assuming they both charge the same rates for each of their services, how much do they charge per hour for mowing? For raking leaves?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
x pay rate for mow
y pay rate for rake

Sentence Number Three: 10x+6y=114
Sentence Number four: 8x+9y=118.50

Multiply the first equation by 3 and and the second equation by 2 and use the Elimination Method.
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30x%2B18y=114%2A3 is that equation; subtract the second equation from it:
%2830x%2B18y%29-%2816x%2B18y%29=114%2A3-118.5%2A2
...find the value for x.