Question 267753
A woodworking shop makes tables and chairs. 
To make a chair, 8 min is needed on the lathe and 8 min is needed on the sander. 
To make a table, 8 min is needed on the lathe and 20 min on the sander. 
The lathe operator works 6h/day and the sander operator works 7h/day. 
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How many chairs and tables can they make in one day working at this capacity?
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Lathe Equation:: 8c + 8t = 6*60 minutes
Sander Equation: 8c +20t = 7*60 minutes
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Subtract 1st from 2nd to get:
12t = 60
t = 5 (# of tables that can be produced)
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Substitute into 8c+8t = 6*60 and solve "c":
8c + 8*5 = 6*60
8c = 320
c = 40 (# of chairs that can be produced)
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Cheers,
Stan H.