document.write( "Question 1108740: At an after school event, 5/9 of the students were 8th graders and the rest were 7th graders. Of the students who were in 7th grade, the ratio of boys to girls is 3:5. What percent of ALL students at the after school event were boys who are in the 7th grade? \n" ); document.write( "

Algebra.Com's Answer #723769 by ikleyn(52810) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "

\r\n" );
document.write( "Let x = the number of the boys who were in 7th grade.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Let Z = the number of ALL students.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "They want you determine the ratio x/Z  (it is almost the same as percentage).\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Let Y be the number of all 7th grade students.  \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Notice that  = , as it follows from the condition.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Also from the condition  =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now we have EVERYTHING to calculate \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "     =  =  =  = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Thus we just found the ratio   = .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Hence, the percentage under the question is   =  = 16.667 %  (approximately).\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( " * * * Solved. * * * \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );