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Question 1061994: In a library, there are rectangular tables having four legs and hexagonal tables having six legs. Plastic caps must be placed on the legs to protect the floor. The job will take 112 caps, and there are 13 more rectangular tables than hexagonal ones. How many of each kind of table are in the library?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! In a library, there are rectangular tables having four legs and hexagonal tables having six legs. Plastic caps must be placed on the legs to protect the floor. The job will take 112 caps, and there are 13 more rectangular tables than hexagonal ones. How many of each kind of table are in the library?
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Table Equation:: r = h + 13
Caps Equation: 4r + 6h = 112
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Modify for elimination::
2r - 2h = 2*13
2r + 3h = 56
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Subtract and solve for "h"::
5h = 30
h = 6 (# of hexagonal tables)
r = h+13 = 19 (# of rectangular tables)
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Cheers,
Stan H.
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