document.write( "Question 774229: There are two classroom A and B .if 10 students are sent from A to B, the number of students in each room become the same .if 20 students are sent from B to A , the number of students in A becomes double the number of students in B .Find the number of students in each room . \n" ); document.write( "
Algebra.Com's Answer #472232 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
There are two classroom A and B .
\n" ); document.write( "if 10 students are sent from A to B, the number of students in each room become the same .
\n" ); document.write( "if 20 students are sent from B to A , the number of students in A becomes double the number of students in B .
\n" ); document.write( "Find the number of students in each room .
\n" ); document.write( ":
\n" ); document.write( "Let a = original no. of students in A
\n" ); document.write( "Let b = original no. of students in B
\n" ); document.write( ":
\n" ); document.write( "Write an equation for each statement, put eq in standard form
\n" ); document.write( ":
\n" ); document.write( "\"There are two classroom A and B .if 10 students are sent from A to B, the number of students in each room become the same .\"
\n" ); document.write( "a - 10 = b + 10
\n" ); document.write( "a - b = 10 + 10
\n" ); document.write( "a - b = 20
\n" ); document.write( ":
\n" ); document.write( "\"If 20 students are sent from B to A , the number of students in A becomes double the number of students in B
\n" ); document.write( "A + 20 = 2(B-20)
\n" ); document.write( "A + 20 = 2b - 40
\n" ); document.write( "A - 2B = -40 - 20
\n" ); document.write( "A - 2B = -60
\n" ); document.write( "Subtract the above equation from the 1st equation
\n" ); document.write( "a - b = 20
\n" ); document.write( "a - 2b = -60
\n" ); document.write( "--------------subtacting eliminates a, find b
\n" ); document.write( "b = 80 students in B
\n" ); document.write( "and
\n" ); document.write( "a - 80 = 20
\n" ); document.write( "a = 20 + 80
\n" ); document.write( "a = 100 students in A
\n" ); document.write( ":
\n" ); document.write( "You should check the solutions in both statements\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );