SOLUTION: the strauss family is deciding between two lawn-care services. Green lawn charges a $49 start p fee, plus $29 per month. Grass team charges a $25 start up fee, plus $37 per month.

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Question 263640: the strauss family is deciding between two lawn-care services. Green lawn charges a $49 start p fee, plus $29 per month. Grass team charges a $25 start up fee, plus $37 per month.
a: in how many months will both lawn-care servoces cost the same? what will that cost be?
b: if the family will use the service for only 6 months, which is the better option? explain.
Found 2 solutions by rfer, drk:
Answer by rfer(16322) (Show Source):
You can put this solution on YOUR website!
49+29x=25+37x
8x=24
x=3 mo the prices equal
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49+29(6)=$223
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25+37(6)=$247

Answer by drk(1908) (Show Source):
You can put this solution on YOUR website!
we have two equations
(i)
(ii)
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a: in how many months will both lawn-care servoces cost the same? what will that cost be?
set them equal to get

subtract 29m to get

subtract 25 to get

divide to get

after 3 months they will cost the same @ $136
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b: if the family will use the service for only 6 months, which is the better option? explain.
The better option if use for 6 months is Green Lawn. You pay $223 versus Grass team @ $247