SOLUTION: A library has 8 tables and 42 chairs. There are several small tables with 4 chairs each and some large tables with 6 chairs each. How many tables of each type are in the library?

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Question 749782: A library has 8 tables and 42 chairs. There are several small tables with 4 chairs each and some large tables with 6 chairs each. How many tables of each type are in the library?
Answer by stanbon(75887) (Show Source):
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A library has 8 tables and 42 chairs. There are several small tables with 4 chairs each and some large tables with 6 chairs each. How many tables of each type are in the library?
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Table equation: S + L = 8
Chair equation:4S +6L = 42
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Modify for Elimination:
2S + 2L = 16
2S + 3L = 21
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Subtract and solve for "L":
L = 5 (# of large tables)
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Solve for "S":
S + L = 8
S = 3 (# of small tables)
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Cheers,
Stan H.
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