SOLUTION: you have 40 seats and 137 legs. By making chairs and 3- legged stools, how many of each can be made? But having no left overs

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: you have 40 seats and 137 legs. By making chairs and 3- legged stools, how many of each can be made? But having no left overs      Log On


   

Question 226581: you have 40 seats and 137 legs. By making chairs and 3- legged stools, how many of each can be made? But having no left overs
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let c= # chairs(4 legs),,,,,,and s=# stools (3 legs)
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c+s = 40,,or c=40-s,,,number of seats,,,,1 seat each for chair or stool
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4*c +3*s = 137,,,,,,,,total number of legs
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subst,,,,4(40-s) +3s = 137
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160 -4s +3s =137
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160-137 = 4s-3s
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23 = s,,,,,,,,,c=40-s,,,,,c= 40-23 = 17
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check,,,,3*23 +4*17 = 69 +68 = 137,,,,ok
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