document.write( "Question 53464: Can you help with this story problem?\r
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document.write( "Mike picked three-fourths of the pears on his father's tree. After Mike finished, Sylvia picked two-thirds of the pears that were left on the tree. After Sylvia finished, there were twenty pears left on the tree. How many pears were on the tree before Mike and Sylvia started picking?\r
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document.write( "Thank you for your time. \n" );
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Algebra.Com's Answer #35729 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Mike picked three-fourths of the pears on his father's tree. After Mike finished, Sylvia picked two-thirds of the pears that were left on the tree. After Sylvia finished, there were twenty pears left on the tree. How many pears were on the tree before Mike and Sylvia started picking? \n" ); document.write( ": \n" ); document.write( "Let x = number of pears originally on the tree \n" ); document.write( ": \n" ); document.write( "\"Mike picked three-fourths of the pears \" \n" ); document.write( " Mike picked: (3/4)x, then (1/4)x is left \n" ); document.write( ": \n" ); document.write( "\"Sylvia picked two-thirds of the pears that were left\" \n" ); document.write( "If Sylvia picked(2/3) then 1/3 are left \n" ); document.write( ": \n" ); document.write( "(1/3)(1/4)x = 20 \n" ); document.write( " (1/12)x = 20 \n" ); document.write( " x = 20 * 12 \n" ); document.write( " x = 240 pears originally on the tree \n" ); document.write( ": \n" ); document.write( "Check: 240 - 3/4(240) = 60 \n" ); document.write( " 60 - 2/3(60) = 20 \n" ); document.write( " \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |