SOLUTION: A furniture company makes large and small chairs. A small chair takes 30 minutes of machine time and 75 minutes of labor to build. A large chair takes 40 minutes of machine time an

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Question 1048537: A furniture company makes large and small chairs. A small chair takes 30 minutes of machine time and 75 minutes of labor to build. A large chair takes 40 minutes of machine time and 80 minutes of labor to build. The company has 57 hours of labor time and 26 hours of machine time available each day. How many of each type of chair is built in a day?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

small chair x: 30M, 75L
large chair y: = 40M, 80L
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75x + 80y = 57*60
30x + 40y = 26*60 0r y = %2826%2A60+-+30x%29%2F40 ***
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75x + 80y = 57*60
-60x - 80y = -52*60 Multiplying 2nd EQ by -2 to eliminate y -2%2826%2A60%29+=+-52%2A60
Adding EQ together:
15x = 5*60
x = 20, the number of small chairs
***y = %2826%2A60+-+600%29%2F40= 24, the number of large chairs
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Check Answer: Checking answers using 1st EQ
75x + 80y = 57*60
75%2A20+%2B+80%2A24+=+57%2A60
3420 = 3420 CHECKS!