document.write( "Question 639081: A shirt shop has 112 orders for t-shirt designs. Three designers can make 12 shirts in 2 hours. How many designers are needed to complete the orders in 8 hours? \r
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Algebra.Com's Answer #402546 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
A shirt shop has 112 orders for t-shirt designs. Three designers can make 12 shirts in 2 hours. How many designers are needed to complete the orders in 8 hours?
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document.write( "First way:\r\n" );
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document.write( "3 designers can make 12 shirts in 2 hours\r\n" );
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document.write( "therefore since 8=4*2 and 4*12=48  \r\n" );
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document.write( "3 designers can make 48 shirts in 8 hours\r\n" );
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document.write( "therefore since 3÷3=1 and 48÷3=16\r\n" );
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document.write( "1 designer can make 16 shirts in 8 hours\r\n" );
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document.write( "therefore since 112=16*7 and 1*7=7\r\n" );
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document.write( "7 designers can make 112 shirts in 8 hours\r\n" );
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document.write( "Second way:\r\n" );
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document.write( "Use the worker-time-job formula, which is:\r\n" );
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document.write( "\"%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D\"\"%22%22=%22%22\"\"%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D\"\r\n" );
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document.write( "where\r\n" );
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document.write( "W1 = the number of workers in the first situation.\r\n" );
document.write( "T1 = the number of time units (hours in this case) in the first situation.\r\n" );
document.write( "J1 = the number of jobs in the first situation.\r\n" );
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document.write( "W2 = the number of workers in the second situation.\r\n" );
document.write( "T2 = the number of time units (hours in this case) in the second situation.\r\n" );
document.write( "J2 = the number of jobs in the second situation.\r\n" );
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document.write( "W1 =  3             W2 = the unknown quantity     \r\n" );
document.write( "T1 =  2             T2 = 8 \r\n" );
document.write( "J1 = 12             J2 = 112\r\n" );
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document.write( "\"%28W%5B1%5DT%5B1%5D%29%2FJ%5B1%5D\"\"%22%22=%22%22\"\"%28W%5B2%5DT%5B2%5D%29%2FJ%5B2%5D\"\r\n" );
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document.write( "\"%283%2A2%29%2F12\"\"%22%22=%22%22\"\"%28W%5B2%5D%2A8%29%2F112\"\r\n" );
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document.write( "\"6%2F12\"\"%22%22=%22%22\"\"%288W%5B2%5D%29%2F112\"\r\n" );
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document.write( "\"6%2F12\" reduces to \"1%2F2\" and \"8%2F112\" reduces to \"1%2F14\"\r\n" );
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document.write( "\"1%2F2\"\"%22%22=%22%22\"\"%28W%5B2%5D%29%2F14\"\r\n" );
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document.write( "Cross-multiply\r\n" );
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document.write( "2W2 = 14\r\n" );
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document.write( "Divide both sides by 2\r\n" );
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document.write( " W2 = 7\r\n" );
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document.write( "Answer: 7 workers.\r\n" );
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document.write( "Edwin
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