SOLUTION: the lone star shipping company charges$14 plus $2 a pound to ship an overnight package. discount shipping company charges $20 plus $1.50 a pound over night package. for what weight

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Question 664202: the lone star shipping company charges$14 plus $2 a pound to ship an overnight package. discount shipping company charges $20 plus $1.50 a pound over night package. for what weight is the charge the same for the companies
Answer by ReadingBoosters(3246) (Show Source):
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Lone Star
c = 14 + 2x, where x is the number of pounds
Discount
c = 20 + 1.5x
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At what weight are the charges the same? Set them equal to each other and solve for x.
14 + 2x = 20 + 1.5x
Group like terms
2x - 1.5x = 20 - 14
Combine like terms
.5x = 6
Divide both sides by .5
x = 12
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When the weight is 12 lbs, the charges at both companies are the same.
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