SOLUTION: 8 shirts and 5 pairs of pants cost $695 altogether. 3 shirts and three pairs of pants cost $300 altogether. How much more does each shirt cost than each pair of pants?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: 8 shirts and 5 pairs of pants cost $695 altogether. 3 shirts and three pairs of pants cost $300 altogether. How much more does each shirt cost than each pair of pants?       Log On


   

Question 946680: 8 shirts and 5 pairs of pants cost $695 altogether. 3 shirts and three pairs of pants cost $300 altogether. How much more does each shirt cost than each pair of pants?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
8 shirts and 5 pairs of pants cost $695 altogether. 3 shirts and three pairs of pants cost $300 altogether. How much more does each shirt cost than each pair of pants?
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Equations:
8s + 5p = 695
3s + 3p = 300
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Modify::
8s + 5p = 695
s + p = 100
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Substitute for "s" and solve for "p"::
8(100-p)+5p = 695
800-3p = 695
3p = 105
p = $35 (price of pair of pants)
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s = 100-p = $65 (price of shirt)
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Cheers,
Stan H.
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