document.write( "Question 1116660: An event organizer is reserving rooms for two company-wide events. For the quarterly meeting this month, she reserved 3 conference rooms and 5 ballrooms, which can seat a total of 379 attendees. For safety training next month, she reserved 3 conference rooms and 4 ballrooms, which can seat 314 attendees. How many attendees can each room accommodate? \n" ); document.write( "

Algebra.Com's Answer #731569 by ikleyn(52802) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "An event organizer is reserving rooms for two company-wide events.
\n" ); document.write( "For the quarterly meeting this month, she reserved 3 conference rooms and 5 ballrooms, which can seat a total of 379 attendees.
\n" ); document.write( "For safety training next month, she reserved 3 conference rooms and 4 ballrooms, which can seat 314 attendees.
\n" ); document.write( "How many attendees can each room accommodate?
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "This problem is for mental solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    1.  After reading the text, you should see that the difference of 379 - 314 = 65 is exactly the capacity of one ballroom.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    2.  Then the capacity of each conference room is one third of   314-4*65,  or   = 18.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Answer.  18 persons for each conference room and  65 persons for each ballroom.\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( "To see other similar solved problems, look into the lesson \r
\n" ); document.write( "\n" ); document.write( " - Solving mentally word problems on two equations in two unknowns \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );