document.write( "Question 964114: The second period College Algebra class of 33 students could do n problems in x hours. If 3 students were absent, how long would it take to do 100 problems??? \n" ); document.write( "
Algebra.Com's Answer #589151 by Edwin McCravy(20065)\"\" \"About 
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The second period College Algebra class of 33 students could do n problems in x
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\n" ); document.write( "\n" ); document.write( "33 students can do n problems in x hours.
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document.write( "Therefore, 1 student would take 33 times as long, So\r\n" );
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document.write( "1 student can do n problems in 33x hours.\r\n" );
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document.write( "Therefore, 1 student can do 1 problem in that time divided by n.  So:\r\n" );
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document.write( "1 student can do 1 problem in \"33x%2Fn\" hours.  \r\n" );
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document.write( "Therefore 1 student can do 100 problems in 100 times as long.  So:\r\n" );
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document.write( "1 students can do 100 problems in \"3300x%2Fn\" hours.  So with 3\r\n" );
document.write( "students absent: \r\n" );
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document.write( "33-3=30 students could do them in that time divided by 30.  So\r\n" );
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document.write( "Solution: \"3300x%2Fn\"\"%22%F7%22\"\"30\"\"%22%22=%22%22\"\"3300x%2Fn\"\"%22%D7%22\"\"1%2F30\"\"%22%22=%22%22\"\"%283300x%29%2F%2830n%29\"\"%22%22=%22%22\"\"110x%2Fn\"\r\n" );
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document.write( "30 students can do 100 problems in \"110x%2Fn\" hours. \r\n" );
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document.write( "Another way is to 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 = 33             W2 = 30     \r\n" );
document.write( "T1 =  x             T2 = the unknown quantity\r\n" );
document.write( "J1 =  n             J2 = 100\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( "\"%2833%2Ax%29%2Fn\"\"%22%22=%22%22\"\"%2830%2AT%5B2%5D%29%2F100\"\r\n" );
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document.write( "Cross-multiply\r\n" );
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document.write( "30nT2 = 3300x\r\n" );
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document.write( "Divide both sides by 30n\r\n" );
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document.write( "T2 = \"3300x%2F%2830n%29\" = \"110x%2Fn\"\r\n" );
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document.write( "Answer: 30 students can do 100 problems in \"110x%2Fn\" hours.\r\n" );
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document.write( "Edwin
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