document.write( "Question 363478: Tom and Alison are both salespeople . tom's weekly compensation consist of $300 plus 20 percent of his sales. Alison's weekly compensation consist of $200 plus 25 percent of her sales. if they both had the same amount of sales and the same
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document.write( "compensation for a particular week, what was that compensation in dollars ? \n" );
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Algebra.Com's Answer #259179 by robertb(5830)![]() ![]() You can put this solution on YOUR website! \"tom's weekly compensation consist of $300 plus 20 percent of his sales\" = 300+0.20t \n" ); document.write( "\"Alison's weekly compensation consist of $200 plus 25 percent of her sales\" = 200+0.25a. \n" ); document.write( "Here we let t = Tom's weekly sales, a = Allison's weekly sales. \n" ); document.write( "\"they both had the same amount of sales\" means t = a. \n" ); document.write( " \"and the same compensation for a particular week\" means 200+0.25a = 300+0.20t. \n" ); document.write( "By direct substitution, 200+0.25a = 300 + 0.20a, or \n" ); document.write( "0.05a = 100, or a = 2000, the amount of sales of Allison, which is also the amount of sales of Tom. \n" ); document.write( " |