document.write( "Question 611029: I need to write an equation and solve for the following: Together my sister and I have $1000. If 5% of my money is $6 more than 6% of my sister's money, how many dollars does my sister have?
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\n" ); document.write( "David R.
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Algebra.Com's Answer #384747 by Maths68(1474)\"\" \"About 
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\n" ); document.write( "Let
\n" ); document.write( "You have = $x\r
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\n" ); document.write( "\n" ); document.write( "5% of x = \"5x%2F100\"\r
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\n" ); document.write( "\n" ); document.write( "Your sister has = $y\r
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\n" ); document.write( "\n" ); document.write( "6% of y = \"6y%2F100\"\r
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\n" ); document.write( "\n" ); document.write( "Together you have
\n" ); document.write( "\"x%2By=1000\"
\n" ); document.write( "\"x=1000-y\"..............(1)\r
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\n" ); document.write( "\n" ); document.write( "5% of your money is $6 more than 6% of your sister's money
\n" ); document.write( "\"5x%2F100=6y%2F100%2B6\"
\n" ); document.write( "Multiply by 100 both sides of above equation
\n" ); document.write( "\"%28100%29%285x%2F100%29=%28100%29%28%286y%2F100%29%2B6%29\"
\n" ); document.write( "\"cross%28100%29%285x%2Fcross%28100%29%29=cross%28100%29%286y%2Fcross%28100%29%29%2B600%29\"
\n" ); document.write( "\"5x=6y%2B600\"..............(2)
\n" ); document.write( "Put the value of x from (1) to (2)
\n" ); document.write( "\"5%281000-y%29=6y%2B600\"
\n" ); document.write( "\"5000-5y=6y%2B600\"
\n" ); document.write( "\"5000-600=6y%2B5y\"
\n" ); document.write( "\"4400=11y\"
\n" ); document.write( "or
\n" ); document.write( "\"11y=4400\"
\n" ); document.write( "Divide by 11 both sides
\n" ); document.write( "\"11y%2F11=4400%2F11\"
\n" ); document.write( "\"cross%2811%29y%2Fcross%2811%29=cross%284400%29%2Fcross%2811%29\"
\n" ); document.write( "\"y=400\"\r
\n" ); document.write( "\n" ); document.write( "Put the value of y in (1)\r
\n" ); document.write( "\n" ); document.write( "\"x=1000-y\"
\n" ); document.write( "\"x=1000-400\"
\n" ); document.write( "\"x=600\"\r
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\n" ); document.write( "\n" ); document.write( "You have $600
\n" ); document.write( "Your sister has $400\r
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\n" ); document.write( "\n" ); document.write( "Check
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\n" ); document.write( "5% of your money = (600)(5%) = 600(5/100)=(6)(5)=30
\n" ); document.write( "6% of your sister money = (400)(6%) = (400)(6/100)=(4)(6)=24 and 6 more = 24+6 = 30\r
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