document.write( "Question 756177: Robert gave one half of his marbles to Dean.Then he gave two thirds of the remaining ones to Mark. If he ended up with 10, how many did he have when he started \n" ); document.write( "

Algebra.Com's Answer #460077 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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Robert gave one half of his marbles to Dean.
\n" ); document.write( "Then he gave two thirds of the remaining ones to Mark.
\n" ); document.write( " If he ended up with 10, how many did he have when he started?
\n" ); document.write( ":
\n" ); document.write( "let x = original no. of marbles
\n" ); document.write( "Then
\n" ); document.write( "(.5x) = amt given to Dean
\n" ); document.write( "and
\n" ); document.write( " $\"2%2F3\"$ (.5x) = amt given to Mark
\n" ); document.write( "Hence the equation
\n" ); document.write( "x - .5x - $\"2%2F3\"$ (.5x) = 10
\n" ); document.write( "which is
\n" ); document.write( ".5x - $\"2%2F3\"$ (.5x) = 10
\n" ); document.write( "multiply by 3 to get rid of the denominator
\n" ); document.write( "1.5x - 2(.5x) = 30
\n" ); document.write( "1.5x - 1x = 30
\n" ); document.write( ".5x = 30
\n" ); document.write( "Multiply both sides by 2
\n" ); document.write( "x = 60 marbles originally
\n" ); document.write( ":
\n" ); document.write( ":
\n" ); document.write( "See if that works
\n" ); document.write( "He gave 30 to Dean and $\"2%2F3\"$ *30 to Mark
\n" ); document.write( "60 - 30 - 20 = 10 \n" ); document.write( "

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