document.write( "Question 1175686: the ratio of boys to girls in a group is 3:4. if 6 more boys join the group and 6 girls leave the group the ratio becomes 4:3. How many girls were originally in the group? \n" ); document.write( "
Algebra.Com's Answer #801345 by MathTherapy(10552)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "the ratio of boys to girls in a group is 3:4. if 6 more boys join the group and 6 girls leave the group the ratio becomes 4:3. How many girls were originally in the group?
\n" ); document.write( "
Let multiplicative factor be x
\n" );
document.write( "Then original number of boys and girls = 3x, and 4x, respectively
\n" );
document.write( "Then we get: \"matrix%281%2C3%2C+%283x+%2B+6%29%2F%284x+-+6%29%2C+%22=%22%2C+4%2F3%29\"
\n" );
document.write( "3(3x + 6) = 4(4x - 6) ------ Cross-multiplying
\n" );
document.write( "9x + 18 = 16x - 24
\n" );
document.write( "9x - 16x = - 24 - 18
\n" );
document.write( "- 7x = - 42
\n" );
document.write( "Multiplicative factor, or \"matrix%281%2C5%2C+x%2C+%22=%22%2C+%28-+42%29%2F%28-+7%29%2C+%22=%22%2C+6%29\"
\n" );
document.write( "Original number of girls: 
\n" );
document.write( "That's all! Nothing MORE, nothing LESS!! \n" );
document.write( "
\n" );