SOLUTION: LeBron mows yards. For each yard he charges $5.50 for the use of his mower and $3.50 for the use of his trimmer. In addition LeBron charges $5 an hour to mow and $6.50 an hour to t

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: LeBron mows yards. For each yard he charges $5.50 for the use of his mower and $3.50 for the use of his trimmer. In addition LeBron charges $5 an hour to mow and $6.50 an hour to t      Log On


   

Question 1105892: LeBron mows yards. For each yard he charges $5.50 for the use of his mower and $3.50 for the use of his trimmer. In addition LeBron charges $5 an hour to mow and $6.50 an hour to trim.
LeBron both mows and trims Mr. John's lawn using his own mower and trimmer. He takes twice as long to mow as he does to trim. If he earns $25.50 that day, how many hours did he mow?
Show your work.
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Let 2x be time mowing, and then x be time trimming.

Account for the cost of all servicing done for Mr. John's yard.
5.50%2B3.50%2B5%2A2x%2B6.5%2Ax=25.5
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16.5x=25.5-5.5-3.5
16.5x=16.5
highlight%28x=1%29--------time spent trimming
highlight_green%282x=highlight%282%29%29--------TIME SPENT MOWING