document.write( "Question 910287: $80 is divided between two men such that one-quarter of one person's share is equal to 1/6 of the other. How much will each man receive? \n" ); document.write( "

Algebra.Com's Answer #552370 by MathLover1(20850) $\"\"$ $\"About$

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let's one person's share be $\"x\"$ and other person's share $\"y\"$ \r
\n" ); document.write( "\n" ); document.write( "we know that $ $\"80=x%2By\"$ ....eq.1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "we know that one-quarter ( $\"1%2F4\"$ ) of one person's share ( $\"x\"$ )is equal to $\"1%2F6\"$ of the other ( $\"y\"$ )\r
\n" ); document.write( "\n" ); document.write( "so, $\"%281%2F4%29x=%281%2F6%29y\"$ .....eq.2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " $\"%281%2F4%29x=%281%2F6%29y\"$ .....eq.2...solve for $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=4%281%2F6%29y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=cross%284%292%281%2Fcross%286%293%29y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=+%282%2F3%29y\"$ ....plug it in eq.1\r
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\n" ); document.write( "\n" ); document.write( "$ $\"80=%282%2F3%29y%2By\"$ ....eq.1...solve for $\"y\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "$ $\"80=%282%2F3%29y%2B%283%2F3%29y\"$ \r
\n" ); document.write( "\n" ); document.write( "$ $\"80=%285%2F3%29y\"$ \r
\n" ); document.write( "\n" ); document.write( "$ $\"80%2A3=5y\"$ \r
\n" ); document.write( "\n" ); document.write( "$ $\"240%2F5=y\"$ \r
\n" ); document.write( "\n" ); document.write( "$ $\"highlight%2848=y%29\"$ \r
\n" ); document.write( "\n" ); document.write( "now find $\"x\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=+%282%2F3%29y\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=+%282%2F3%2948\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=+%282%2A48%29%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"x=+96%2F3\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"highlight%28x=+32%29\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "check:
\n" ); document.write( "$ $\"80=x%2By\"$ ....eq.1
\n" ); document.write( "$ $\"80=32%2B48\"$
\n" ); document.write( "$ $\"80=80\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%281%2F4%29x=%281%2F6%29y\"$ .....eq.2
\n" ); document.write( " $\"%281%2F4%2932=%281%2F6%2948\"$
\n" ); document.write( " $\"%281%2Fcross%284%291%29cross%2832%298=%281%2Fcross%286%291%29cross%2848%298\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"8=8\"$
\n" ); document.write( " \n" ); document.write( "

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