document.write( "Question 1202710: The ratio of boys to girls among the students who signed up for a basketball competition is 4:3. If 3 boys drop out of the competition and 4 girls join, there will be the same number of boys and girls. Evaluate the number of students who signed up for the basketball competition. \n" ); document.write( "
Algebra.Com's Answer #837774 by ikleyn(52788)\"\" \"About 
You can put this solution on YOUR website!
.
\n" ); document.write( "The ratio of boys to girls among the students who signed up for a basketball competition is 4:3.
\n" ); document.write( "If 3 boys drop out of the competition and 4 girls join, there will be the same number
\n" ); document.write( "of boys and girls. Evaluate the number of students who signed up for the basketball competition.
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Initially, 4x boys and 3x girls are signed.\r\n" );
document.write( "\r\n" );
document.write( "If these numbers change as described, the number of boys will be (4x-3); the number of girls will be (3x+4).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "These numbers are equal, so we write this equation\r\n" );
document.write( "\r\n" );
document.write( "    4x - 3 = 3x + 4.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It gives further\r\n" );
document.write( "\r\n" );
document.write( "    4x - 3x = 4 + 3\r\n" );
document.write( "\r\n" );
document.write( "       x    =   7.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The number of signed boys is 4*7 = 28;  the number of signed girls is 3*7 = 21.\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--------------------------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I have read Edwin's notes about my solution, and do not understand clearly,
\n" ); document.write( "for what reason he wrote it.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I don't want very much to argue with Edwin.
\n" ); document.write( "But he does not leave me any option as to respond.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "      E d w i n                                 M e\r\n" );
document.write( "\r\n" );
document.write( "I think Theo's method is better.        You may think so - it is your right.\r\n" );
document.write( "                                        Other people may think differently.\r\n" );
document.write( "                                        I personally think differently.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "It's easier to set up word problems     You may think so - it is your right. \r\n" );
document.write( "when you use more than one unknown.     Other people may think differently.  \r\n" );
document.write( "                                        I personally think differently.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Ikleyn always prefers to use one        Factually, it is incorrect.\r\n" );
document.write( "unknown if possible.                    I may use one approach or another - it is my choice,\r\n" );
document.write( "                                        and what I choose depends on different circumstances.\r\n" );
document.write( "                                        Hundreds of my posts at this forum confirm it.\r\n" );
document.write( "\r\n" );
document.write( "
\r
\n" ); document.write( "\n" ); document.write( "Edwin, it is not a good style to pretend publicly as if you are a Lord and can issue
\n" ); document.write( "your undeniable suggestions on every subject. Adult educated people do not make so.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Please do note that it was not me who pushed the stone down the mountain first.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I cordially advise you not to let go of hairpins in my address without necessity.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );