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

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) (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.
-
is that equation; subtract the second equation from it:

...find the value for x.
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