document.write( "Question 1167970: Deshaun the trainer has two solo workout plans that he offers his clients: Plan A and Plan B. Each client does either one or the other (not both). On Wednesday there were 8 clients who did Plan A and 4 who did Plan B. On Thursday there were 3 clients who did Plan A and 2 who did Plan B. Deshaun trained his Wednesday clients for a total of 9 hours and his Thursday clients for a total of 4 hours. How long does each of the workout plans last?
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Algebra.Com's Answer #851344 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Deshaun the trainer has two solo workout plans that he offers his clients: Plan A and Plan B.
\n" ); document.write( "Each client does either one or the other (not both).
\n" ); document.write( "On Wednesday there were 8 clients who did Plan A and 4 who did Plan B.
\n" ); document.write( "On Thursday there were 3 clients who did Plan A and 2 who did Plan B.
\n" ); document.write( "Deshaun trained his Wednesday clients for a total of 9 hours
\n" ); document.write( "and his Thursday clients for a total of 4 hours.
\n" ); document.write( "How long does each of the workout plans last?
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document.write( "'a' hours for plan A and 'b' hours for plan B.\r\n" );
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document.write( "Write equations as you read the problem\r\n" );
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document.write( "    8a + 4b = 9 hours    (1)   (Wednesday)\r\n" );
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document.write( "    3a + 2b = 4 hours    (2)   (Thursday)\r\n" );
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document.write( "Solve this system of two linear equations by the Elimination method.\r\n" );
document.write( "Multiply equation (2) by 2 and subtract from equation (1).  You will get\r\n" );
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document.write( "    8a - 6a = 9 - 2*4\r\n" );
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document.write( "       2a   =    1\r\n" );
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document.write( "        a   =    1/2 of an hour.\r\n" );
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document.write( "Then from equation (1)\r\n" );
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document.write( "     8* + 4b = 9  --->  4 + 4b = 9  ---> 4b = 9-4 = 5  --->  b = 5/4 = 1  of an hour.\r\n" );
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document.write( "ANSWER.  Plan A is 1/2 of an hour long.  Plan B is  1 hours long.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\n" ); document.write( "Was solved at this forum, probably, 17 times under different names of trainers and different input numbers.\r
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