document.write( "Question 1006140: Jack decided to ride his bicycle across the country during his 3-month summer vacation. The
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document.write( "route he took from Washington, DC to Portland, Oregon, covered a total of 3500 miles. To keep
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document.write( "his mind occupied during some of the long flat stretches of countryside, he often did algebra
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document.write( "problems in his head. One day, for example, he determined that his distance from his starting
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document.write( "point was exactly 80 miles more than twice the distance remaining until the finishing point.
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document.write( "How far was Jack from the finishing point of his journey when he made that calculation? Start
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document.write( "your work by defining the unknown quantities in terms of a variable. \n" );
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Algebra.Com's Answer #622377 by Theo(13342)![]() ![]() You can put this solution on YOUR website! One day, for example, he determined that his distance from his starting \n" ); document.write( "point was exactly 80 miles more than twice the distance remaining until the finishing point.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "How far was Jack from the finishing point of his journey when he made that calculation?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = distance remaining to finish point. \n" ); document.write( "2x + 80 = distance from start point.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "total distance = x + 2x + 80. \n" ); document.write( "total distance = 3500 \n" ); document.write( "3500 = x + 2x + 80 \n" ); document.write( "combine like terms to get 3500 = 3x + 80 \n" ); document.write( "subtract 80 from both sides of the equation to get 3420 = 3x \n" ); document.write( "divide both sides of the equation by 3 to get x = 1140\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he has 1140 miles remaining to get to the finish point.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "he has already traveled 2 * 1140 + 80 = 2360 miles from the start point.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2360 + 1140 = 3500\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "numbers look good.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2460 is 80 more than twice 1140\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "twice 1140 = 2280\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 80 to get 2360.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |