document.write( "Question 1189749: Hi
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document.write( "Bill has 120 dollars more than James. Each week bill spends 25 dollars and James spends 22 dollars. They use up their money at the same time. How many weeks did it take bill to spend all his money. \r
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document.write( "thanks \n" );
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Algebra.Com's Answer #821190 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let b equal the amount of money that bill has. \n" ); document.write( "let j equal the amount of money that james has.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "bill has 120 dollars more than james. \n" ); document.write( "that gets you b = j + 120.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "bill spends 25 dollars a week and james spend 22 dollars a week. \n" ); document.write( "they will both run out of money at the same time.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "bill runs out when b - 25x = 0 \n" ); document.write( "james runs out when j - 22x = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since both expressions are equal to 0, they are equal to each other. \n" ); document.write( "you get b - 25x = j - 22x \n" ); document.write( "since b = j + 120, you get j + 120 - 25x = j - 22x. \n" ); document.write( "subtract j from both sides of the equation and add 25x to both sides of the equation to get 120 = 3x \n" ); document.write( "solve for x to get x = 40.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "bill will run out of money in 40 weeks. \n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "james will also run out of money in 40 weeks. \n" ); document.write( "bill will have spent 25 * 40 = 1000 dollars. \n" ); document.write( "james will have spent 22 * 40 = 880 dollars.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |