SOLUTION: A furniture dealer has 36 tables. Some tables have 4 legs and some have 3 legs, but she doesn't know how many of each kind there are. She has counted 124 legs in total. How many 4

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A furniture dealer has 36 tables. Some tables have 4 legs and some have 3 legs, but she doesn't know how many of each kind there are. She has counted 124 legs in total. How many 4       Log On


   

Question 429172: A furniture dealer has 36 tables. Some tables have 4 legs and some have 3 legs, but she doesn't know how many of each kind there are. She has counted 124 legs in total. How many 4 legged tables are there?
Found 2 solutions by ewatrrr, stanbon:
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

 36 tables

Let x and (36-x)represent the number of 4-legged and 3-legged tables respectively

Question states***

 4x + 3(36-x) = 124

      x = 16, the number of 4-legged tables.  



CHECKING our Answer*** there are 20  3-legged (36-16)

 4*16 + 3*20 = 64 + 60 = 124 legs

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A furniture dealer has 36 tables. Some tables have 4 legs and some have 3 legs, but she doesn't know how many of each kind there are. She has counted 124 legs in total. How many 4 legged tables are there?
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Equations:
Tables Eq: f + t = 36
Legs Eq:: 4f +3t = 124
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Multiply thru Tables Eq by 3 to get:
3f + 3t = 3*36
4f + 3t = 124
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Subtract and solve for "f":
f = 16 (# of 4 legged tables)
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Cheers,
Stan H.
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