document.write( "Question 39961: During an election campaign a candidate gave away 5000 little advertisements. The pens she gave away cost $.23 cents each and the little bumper stickers cost $.14 cents each. He spent a total of $970.00. How many pens did he give away?
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Algebra.Com's Answer #25484 by atif.muhammad(135)\"\" \"About 
You can put this solution on YOUR website!
Let's say he gave away x pens and y stickers.\r\n" );
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document.write( "He gave away 5000 little advertisements.\r\n" );
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document.write( "Therefore, x + y = 5000\r\n" );
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document.write( "The pens each cost 23 cents and the stickers cost 14 cents and he spent 970 dollars,\r\n" );
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document.write( "Therefore, 0.23x + 0.14y = 970\r\n" );
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document.write( "We now have simultaneous equations.\r\n" );
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document.write( " x + y = 5000 (1)\r\n" );
document.write( "0.23x + 0.14y = 970 (2)\r\n" );
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document.write( "Manipulate (1)\r\n" );
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document.write( "x +y = 5000\r\n" );
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document.write( "y = 5000 - x (3)\r\n" );
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document.write( "Substitute (3) into (2)\r\n" );
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document.write( "0.23x + 0.14y = 970\r\n" );
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document.write( "0.23x + 0.14(5000-x) = 970\r\n" );
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document.write( "0.23x + 700 - 0.14x = 970\r\n" );
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document.write( "0.09x = 270\r\n" );
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document.write( "x = 270/0.09 = 3000\r\n" );
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document.write( "He gave away 3000 pens.\r\n" );
document.write( "Altogether, he gave away 5000 advertisements. Therefore, he gave away 2000 stickers as well.\r\n" );
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document.write( "Hope that helps!\r\n" );
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