document.write( "Question 1159216: Please help me solve this problem. School A and School B singers combine to equal 40 singers. Altos make up 32.5% of the singers. 40% of School A singers are altos. 20% of School B singers are altos. How many singers are there for School A and how many singers for School B
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #782195 by MathTherapy(10556) $\"\"$ $\"About$

You can put this solution on YOUR website!
Please help me solve this problem. School A and School B singers combine to equal 40 singers. Altos make up 32.5% of the singers. 40% of School A singers are altos. 20% of School B singers are altos. How many singers are there for School A and how many singers for School B
\n" ); document.write( "

Let number of School B-singers, be B
\n" );
document.write( "Then number of School A-singers is, 40 - B
\n" );
document.write( "We then get: .2B + .4(40 - B) = 40(.325)
\n" );
document.write( ".2B + 16 - .4B = 13     
\n" );
document.write( ".2B - .4B = 13 - 16
\n" );
document.write( "- .2B = - 3
\n" );
document.write( "Number of School B-singers, or 
\n" );
document.write( "You should now be able to find the number of School A-singers! \n" );
document.write( "

\n" );