document.write( "Question 63675: jose'and mike are members of a school wideo club. they were discussing sharing homemade videotapeds. when jose asked to borrow mike's videos, mike replied: \"each video completely fills one videotape. i have just one videotape at home. however, i used to have lots of tapes. i gave 1/2 of my videotapes plus 1/2 a tape to joanne. i gave 1/2 of my remaning videotapes and 1/2 a tape to martiza. lastly, i gave 1/2 of my remaning videotapes and 1/2 a tape to jeff.
\n" ); document.write( "how could many videotapes did mike have originally? why could joanne, martiza, and jeff watch all of the videotapes that mike gave them? \n" ); document.write( "
Algebra.Com's Answer #44398 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
i gave 1/2 of my videotapes plus 1/2 a tape to joanne. i gave 1/2 of my remaning videotapes and 1/2 a tape to martiza. lastly, i gave 1/2 of my remaning videotapes and 1/2 a tape to jeff.
\n" ); document.write( ":
\n" ); document.write( "Let x = number of tapes Mike originally had
\n" ); document.write( ":
\n" ); document.write( "(.5x + .5) given to Joan
\n" ); document.write( ":
\n" ); document.write( "x - (.5x + .5) left
\n" ); document.write( "Simplify:
\n" ); document.write( "x - .5x - . 5
\n" ); document.write( "(.5x - .5) left
\n" ); document.write( ":
\n" ); document.write( ".5(.5x-.5) + .5 given to Matilda
\n" ); document.write( "Simplify
\n" ); document.write( ".25x - .25 + .5
\n" ); document.write( ".25x +.25 given to Matilda
\n" ); document.write( ":
\n" ); document.write( "(.5x - .5) - (25x+.25) left
\n" ); document.write( ".5x -.5 - .25x - .25
\n" ); document.write( ".25x -.75 left\r
\n" ); document.write( "\n" ); document.write( ":
\n" ); document.write( ".5(.25x -.75) + .5 given to Jef
\n" ); document.write( ".125x - .375 + .5
\n" ); document.write( ".125x + .125 given to Jef
\n" ); document.write( ":
\n" ); document.write( "(.25x - .75) - (.125x + .125) = 1 left
\n" ); document.write( ".25x - .75 - 125x - .125 = 1
\n" ); document.write( ".125x - .875 = 1
\n" ); document.write( ".125x = 1 + .875
\n" ); document.write( "x = 1.875/.125
\n" ); document.write( "x = 15 tapes Mike had originally
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "Check it:
\n" ); document.write( "15 originally
\n" ); document.write( " 8 given to Joan (7.5+.5)
\n" ); document.write( "---
\n" ); document.write( " 7 left
\n" ); document.write( " 4 given to Matilda (3.5+.5)
\n" ); document.write( "---
\n" ); document.write( " 3 left
\n" ); document.write( " 2 give to Jef (1.5+.5)
\n" ); document.write( "---
\n" ); document.write( " 1 left
\n" ); document.write( ":
\n" ); document.write( "\"why could joanne, martiza, and jeff watch all of the videotapes that mike gave them?\"
\n" ); document.write( "I guess because, of the tapes they received, none were actually half a tape\r
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\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
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