SOLUTION: Jamie wants to start a landscaping business. He buys $750 worth of equipment. Expenses for labor and gas are $12. He charges $50 per lawn. How many lawns does he have to landsc

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons  -> Linear Equations Lesson -> SOLUTION: Jamie wants to start a landscaping business. He buys $750 worth of equipment. Expenses for labor and gas are $12. He charges $50 per lawn. How many lawns does he have to landsc      Log On


   

Question 947788: Jamie wants to start a landscaping business. He buys $750 worth of equipment. Expenses for labor and gas are $12. He charges $50 per lawn. How many lawns does he have to landscape to break even? Write and solve a system of linear equations.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +c+ = costs for business
Let +p+ = profit for business
Let +n+ = number of lawns mowed
+c+=+750+%2B+12+
+c+=+762+
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+p+=+50n+-+c+
+p+=+50n+-+762+
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To find break-even point, set +p+=+0+
+0+=+50n+-+762+
+50n+=+762+
+n+=+15.24+
He can't mow part of a lawn, so he must
mow 16 lawns to break even