document.write( "Question 1176100: Hi
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document.write( "A group of friends wanted to share equally the cost of a present. If each person paid $2.50 they would be short $17.40. If each were to pay $8.20 there would be $16.80 left.
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document.write( "How many people shared the cost.
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document.write( "What was the cost of the present.\r
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document.write( "Thank you \n" );
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Algebra.Com's Answer #802131 by Theo(13342)![]() ![]() You can put this solution on YOUR website! x = the number of people. \n" ); document.write( "y = the cost of the item.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equations are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.50 * x = y - 17.40 \n" ); document.write( "8.20 * x = y + 16.80\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract the first equation from the second to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "5.70 * x = 34.20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = 34.20 / 5.70 = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's the number of people.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace x in both equations with 6 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2.50 * 6 = y - 17.40 becomes 15 = y - 17.40. \n" ); document.write( "solve for y to get y = 15 + 17.40 = 32.40.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8.20 * 6 = y + 16.80 becomes 49.20 = y + 16.80. \n" ); document.write( "solve for y to get y = 49.20 - 16.80 = 32.40.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your solution is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6 people shared the cost. \n" ); document.write( "he price of the item was 32.40. \n" ); document.write( " \n" ); document.write( " |