document.write( "Question 99172: Joe has a total of $200 in his two pockets. He takes one-fourth of the money in his left pocket and puts it in his right pocket. He then takes $20 from his left pocket and puts it in his right pocket. If he now has an equal amount of money in each pocket, then how much money did he originally have in his left pocket?
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Algebra.Com's Answer #72168 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Write an expression for each statement. \n" ); document.write( ": \n" ); document.write( "Joe has a total of $200 in his two pockets. \n" ); document.write( ": \n" ); document.write( "Let x = amt in left pocket originally \n" ); document.write( "Then \n" ); document.write( "(200-x) = amt in right pocket originally \n" ); document.write( ": \n" ); document.write( " He takes one-fourth of the money in his left pocket and puts it in his right pocket. \n" ); document.write( "Left: \n" ); document.write( "(x - .25x) \n" ); document.write( "Simplify \n" ); document.write( ".75x \n" ); document.write( ": \n" ); document.write( "Right \n" ); document.write( "(200-x) + .25x \n" ); document.write( "Simplify \n" ); document.write( "200 -.75x \n" ); document.write( ": \n" ); document.write( "He then takes $20 from his left pocket and puts it in his right pocket. \n" ); document.write( "Left: \n" ); document.write( ".75x - 20 \n" ); document.write( ": \n" ); document.write( "Right \n" ); document.write( "200 - .75x + 20 \n" ); document.write( "Simplify \n" ); document.write( "220 - .75x \n" ); document.write( ": \n" ); document.write( " If he now has an equal amount of money in each pocket, \n" ); document.write( " left = right \n" ); document.write( ".75x - 20 = 220 - .75x \n" ); document.write( ".75x + .75x = 220 + 20 \n" ); document.write( "1.5x = 240 \n" ); document.write( "x = 240/1.5 \n" ); document.write( "x = $160 in his left pocket originally \n" ); document.write( ": \n" ); document.write( "That means he had 200 - 160 = $40 in his right pocket \n" ); document.write( ": \n" ); document.write( "Check for equality \n" ); document.write( "Left 160 - 40 - 20 = 100 \n" ); document.write( "Right 40 + 40 + 20 = 100 \n" ); document.write( ": \n" ); document.write( "Did this make sense to you?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |