document.write( "Question 1101085: Bethany Is working her way through school. She works two part-time Jobs for a total of 22 hours a week. Job A pays $6.10 per hour and job B pays $6.80 per hour. How many hours does she work at each job the week that she made $144 \n" ); document.write( "

Algebra.Com's Answer #715661 by ikleyn(52776) $\"\"$ $\"About$

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document.write( "Let x = number of hours at job A (at $6.10 hourly).\r\n" );
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document.write( "Then the number of hours at job B is (22-x).\r\n" );
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document.write( "Then Bethany makes 6.10*x dollars at job A  and  6.80*(22-x) dollars at job B.\r\n" );
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document.write( "Two jobs together pay  6.10*x + 6.80*(22-x).\r\n" );
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document.write( "It gives you an equation\r\n" );
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document.write( "6.10*x + 6.80*(22-x) = 144     dollars.\r\n" );
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document.write( "Multiply all terms by 100 to make calculations easier:\r\n" );
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document.write( "610x + 680*(22-x) = 14400  ====>\r\n" );
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document.write( "610x + 14960 -680x = 14400  ====>  -70x = 14400 - 14960  ====>  -70x = -560  ====>  x =  = 8.\r\n" );
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document.write( "Answer.  8  hours at job A  and  22-8 = 14 hours at job B.\r\n" );
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document.write( "Check.   8*6.10 + 14*6.80 = 144  dollars.   ! Correct !\r\n" );
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