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You can put this solution on YOUR website!
\n" ); document.write( "Both responses you have received so far show valid solution methods.
\n" ); document.write( "I personally would take some time figuring out how to set up the problem so that I use fractions as little as possible.
\n" ); document.write( "(1) Paul had 2/3 as much as Simon:
\n" ); document.write( "Paul = 2x; Simon = 3x
\n" ); document.write( "(2) 1/3 of Peter's money was $15 more than 1/4 of Paul's money:
\n" ); document.write( "I need an expression for 1/4 of Paul's money, which I currently have defined as 2x. I'll change that to 4x to make 1/4 of Paul's money a whole number times my variable x:
\n" ); document.write( "Paul = 4x; Simon = 6x
\n" ); document.write( "Now 1/3 of Peter's money is $15 more than 1/4 of 4x, which is x:
\n" ); document.write( "1/3 of Peter's money = x+15
\n" ); document.write( "Peter's money: 3x+45
\n" ); document.write( "Now we have \"nice\" expressions for each person's money:
\n" ); document.write( "Paul = 4x; Simon = 6x; Peter = 3x+45
\n" ); document.write( "The total is $825:
\n" ); document.write( "4x+6x+3x+45=825
\n" ); document.write( "13x=780
\n" ); document.write( "x=60
\n" ); document.write( "Paul: 4x=240
\n" ); document.write( "Simon: 6x=360
\n" ); document.write( "Peter: 3x+45=225
\n" ); document.write( "ANSWER: (how much more money Simon had the Peter): $360-$225=$135
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