document.write( "Question 1147949: Each client does either one or the other (not both). On Monday there were 3 clients who did Plan A and 5 who did Plan B. On Tuesday there were 6 clients who did Plan A and 2 who did Plan B. Pablo trained his Monday clients for a total of 10 hours and his Tuesday clients for a total of 10 hours. How long does each of the workout plans last?
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Algebra.Com's Answer #769307 by ikleyn(52835) $\"\"$ $\"About$

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document.write( "    3A +  5B = 10    (1)    (Monday)\r\n" );
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document.write( "    6A +  2B = 10    (2)    (Tuesday)\r\n" );
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document.write( "Multiply equation (1) by 2 (both sides).  Keep equation (2) as is.\r\n" );
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document.write( "You will get\r\n" );
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document.write( "    6A + 10B = 20    (1')    \r\n" );
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document.write( "    6A +  2B = 10    (2')    \r\n" );
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document.write( "Now subtract equation (2') from equation (1').\r\n" );
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document.write( "You will get\r\n" );
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document.write( "          8B = 10\r\n" );
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document.write( "Hence,  B =  =  hours = 1 hour and 15 minutes.\r\n" );
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document.write( "Then from equation (2),  2A = 10 - 6*(5/4}}} = 10 -  =  hours.\r\n" );
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document.write( "Hence,  A =  hours = 1 hour and 15 minutes.\r\n" );
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document.write( "ANSWER.  Both plans A and B are  1 hour and 15 minutes each for every individual client.\r\n" );
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