document.write( "Question 1112187: Hi,
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\n" ); document.write( "\n" ); document.write( " 1. Define your variables and set up a system of two equations and two unknowns for the following problem, then solve the system and answer the question. Show all your work!\r
\n" ); document.write( "\n" ); document.write( "Excedrin surveyed workers in various professions who get headaches at least once a year on the job. Nine more accountants than waiters/waitresses in the survey got a headache. If the combined number of accountant and waiters/waitresses that got a headache was 163, how many people in each of those professions got a headache? What method did you use to solve this problem?
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Algebra.Com's Answer #727189 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let  A  be the number of accountants and\r\n" );
document.write( "let  W  be the number of waiters/waitresses.\r\n" );
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document.write( "The problem says\r\n" );
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document.write( "A - W =   9,     (1)\r\n" );
document.write( "A + W = 163.     (2)\r\n" );
document.write( "------------------------------ Add the two equations.\r\n" );
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document.write( "                               In this way you eliminate W:\r\n" );
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document.write( "2A = 9 + 163 = 172  ====>  A =  = 86.\r\n" );
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document.write( "Then from eq(2)  W = 163-A = 163 - 86 = 77.\r\n" );
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document.write( "Answer.  86 accountants  and  77 waiters/waitresses.\r\n" );
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document.write( "Check.   Check it on your own - it is VERY USEFUL exercise for you, which will help you better to understand the problem.\r\n" );
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\n" ); document.write( "\n" ); document.write( "P.S. I used the Elimination method solving the system of equations.\r
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