document.write( "Question 1128991: A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to build. A large chair takes 50 minutes of machine time and  90 minutes of labor to build. The company has 69 hours of labor time and 31 hours of machine time available each day. How many of each type of chair is built in a​ day? \n" ); document.write( "
Algebra.Com's Answer #745533 by MathTherapy(10552)\"\" \"About 
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A furniture company makes large and small chairs. A small chair takes 20 minutes of machine time and 60 minutes of labor to build. A large chair takes 50 minutes of machine time and  90 minutes of labor to build. The company has 69 hours of labor time and 31 hours of machine time available each day. How many of each type of chair is built in a​ day?
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Let number of small and large be S, and L, respectively
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document.write( "Then we get the following system of equations:
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document.write( "20S + 50L = 31(60)
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document.write( "2S + 5L = 186 ------ Dividing by LCD, 10 ------ eq (i)\r
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document.write( "60S + 90L = 69(60)
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document.write( "2S + 3L = 138 ------ Dividing by LCD, 30 ------ eq (ii)
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document.write( "2L = 48 ------- Subtracting eq (ii) from eq (i)     
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document.write( "Number of large chairs, or \"highlight_green%28matrix%281%2C5%2C+L%2C+%22=%22%2C+48%2F2%2C+%22=%22%2C+24%29%29\" 
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document.write( "2S + 5(24) = 186 ------- Substituting 24 for L in eq (i)
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document.write( "2S = 186 - 120
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document.write( "2S = 66
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document.write( "Number of small chairs, or \"highlight_green%28matrix%281%2C5%2C+S%2C+%22=%22%2C+66%2F2%2C+%22=%22%2C+33%29%29\"
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document.write( "STANBON is WRONG!!! \n" );
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