document.write( "Question 984183: Last year,there were 375 volunteers for a sports event. This year, the number of male volunteers increased by 20% and the number of female volunteers increased by 30%. In the end, there was an equal number of female and male volunteers this year . how many more female volunteers were there this year than last year? \n" ); document.write( "

Algebra.Com's Answer #604956 by srinivas.g(540) $\"\"$ $\"About$

You can put this solution on YOUR website!
let x be the no of female volunteers last year
\n" ); document.write( "and y be the no of male volunteers last year
\n" ); document.write( " x+y= 375
\n" ); document.write( " no of male volunteers increased by 20 %
\n" ); document.write( " so no of male volunteers this year = y+20 % of y
\n" ); document.write( " = y+0.2 y
\n" ); document.write( " =1.2y
\n" ); document.write( "similarly no of female vounteers this year = x+0.3x = 1.3x
\n" ); document.write( " 1.3x =1.2 y
\n" ); document.write( " $\"+1.3x%2F1.2+=y\"$
\n" ); document.write( "
\n" ); document.write( " but x+y =375
\n" ); document.write( " $\"+x%2B%281.3x%2F1.2%29+=375\"$
\n" ); document.write( " $\"+%281.2x%2B1.3x%29%2F1.2+=375\"$
\n" ); document.write( " $\"+1.5x%2F1.2+=375\"$
\n" ); document.write( " $\"+1.5+x=+375%2A1.2\"$
\n" ); document.write( " $\"1.5x+=450\"$
\n" ); document.write( " $\"+x=300\"$
\n" ); document.write( "no of female volunteers last year = 300
\n" ); document.write( " this year , increse = 20 % of 300
\n" ); document.write( " = 60
\n" ); document.write( "result:60 \n" ); document.write( "

\n" );