document.write( "Question 1196559: A textile company has specific dyeing and drying times for its different cloths. A roll of
\n" ); document.write( "Cloth A requires 55 minutes of dyeing time and 45 minutes of drying time. A roll of Cloth
\n" ); document.write( "B requires 60 minutes of dyeing time and 30 minutes of drying time. The production
\n" ); document.write( "division allocates 2280 minutes of dyeing time and 1560 minutes of drying time for the
\n" ); document.write( "week. How many rolls of each cloth can be dyed and dried? \n" ); document.write( "

Algebra.Com's Answer #829449 by ikleyn(52797) $\"\"$ $\"About$

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\n" ); document.write( "A textile company has specific dyeing and drying times for its different cloths.
\n" ); document.write( "A roll of Cloth A requires 55 minutes of dyeing time and 45 minutes of drying time.
\n" ); document.write( "A roll of Cloth B requires 60 minutes of dyeing time and 30 minutes of drying time.
\n" ); document.write( "The production division allocates 2280 minutes of dyeing time and 1560 minutes
\n" ); document.write( "of drying time for the week. How many rolls of each cloth can be dyed and dried?
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document.write( "a = # of rolls Cloth A;\r\n" );
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document.write( "b = # of rolls Cloth B.\r\n" );
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document.write( "Write equations as you read the problem\r\n" );
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document.write( "    55a + 60b = 2280   (1)   (minutes of dyeing time)\r\n" );
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document.write( "    45a + 30b = 1560   (2)   (minutes of drying time)\r\n" );
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document.write( "To solve, apply the elimination method.  For it, multiply equation (2) by 2 (both sides).\r\n" );
document.write( "Keep equation (1) as is\r\n" );
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document.write( "    55a + 60b = 2280   (1)\r\n" );
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document.write( "    90a + 60b = 3120   (2')\r\n" );
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document.write( "From equation (2') subtract equation (1)\r\n" );
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document.write( "    35a       = 3120 - 2280 = 840\r\n" );
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document.write( "      a                     = 840/35 = 24.\r\n" );
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document.write( "ANSWER.  a = 24 rolls Cloth A  and  b =  = 16 rolls Cloth B.\r\n" );
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