document.write( "Question 31391: tara made x/y dollars for babysitting.joe made x-y/y and lynn made 2/3 as much as tara.if they all pool their money.how much will they have? \n" ); document.write( "

Algebra.Com's Answer #18095 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
tara $\"x%2Fy\"$
\n" ); document.write( "joe $\"%28x+-+y%29+%2F+y\"$
\n" ); document.write( "lynn $\"%282%2F3%29%2A%28x%2Fy%29\"$
\n" ); document.write( "they pool their money
\n" ); document.write( " $\"x%2Fy+%2B+%28x+-+y%29+%2F+y+%2B+%282%2F3%29%2A%28x%2Fy%29\"$
\n" ); document.write( "If I put the 2/3 in the numerator of the
\n" ); document.write( "last term, my common denominator is y
\n" ); document.write( " $\"%28x+%2B+x+-+y+%2B+%282%2F3%29%2Ax%29+%2F+y\"$
\n" ); document.write( " $\"%282%2Ax+%2B+%282%2F3%29%2Ax+-+y%29+%2F+y\"$
\n" ); document.write( " $\"%28%288%2F3%29%2Ax+-+y%29+%2F+y\"$
\n" ); document.write( "divide through by y
\n" ); document.write( " $\"%288%2F3%29%2Ax+%2F+y+-+1\"$
\n" ); document.write( "One way to check this is to plug in numbers
\n" ); document.write( "let x = 6
\n" ); document.write( "let y = 3
\n" ); document.write( "x has to be bigger than y so joe doesn't lose money
\n" ); document.write( "and y can't be 0. division by 0 not allowed
\n" ); document.write( "tara = 2
\n" ); document.write( "joe = 1
\n" ); document.write( "lynn = 4/3
\n" ); document.write( "add them up
\n" ); document.write( "2 + 1 + 4/3 = 13/3
\n" ); document.write( "now use $\"%288%2F3%29%2Ax+%2F+y+-+1\"$
\n" ); document.write( " $\"%288%2F3%29%2A6+%2F+3+-+1\"$
\n" ); document.write( " $\"2%2A8%2F3+-+1\"$
\n" ); document.write( " $\"16%2Fs+-+3%2F3\"$
\n" ); document.write( " $\"13%2F3\"$
\n" ); document.write( "checks OK \n" ); document.write( "

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