document.write( "Question 947102: A bus left with some of passengers.At the first stop,half the passengers left the bus and 35 boarded the bus.At the second stop 1/5th of the passengers left and 40 boarded the bus. Then, the bus moved with 80 passengers towards its destination without stopping anywhere. How many passengers were there originally? \n" ); document.write( "
Algebra.Com's Answer #577779 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+x+\" = the original number
\n" ); document.write( "of passengers
\n" ); document.write( "----------------
\n" ); document.write( "At 1st stop:
\n" ); document.write( "\"+x%2F2+\" got off leaving
\n" ); document.write( "\"+x%2F2+\" of the passengers
\n" ); document.write( "\"+35+\" boarded, so there are
\n" ); document.write( "\"+x%2F2+%2B+35+\" on the bus
\n" ); document.write( "-------------------------
\n" ); document.write( "At the 2nd stop,
\n" ); document.write( "\"+%281%2F5%29%2A%28+x%2F2+%2B+35+%29+\" got off the bus
\n" ); document.write( "\"+%284%2F5%29%2A%28+x%2F2+%2B+35+%29+\" are left on the bus
\n" ); document.write( "\"+40+\" boarded, so there are
\n" ); document.write( "\"+%28+4%2F5+%29%2A%28+x%2F2+%2B+35+%29+%2B+40+\" on the bus
\n" ); document.write( "------------------------------------
\n" ); document.write( "there are now \"+80+\" passengers on the bus, so
\n" ); document.write( "\"+%28+4%2F5+%29%2A%28+x%2F2+%2B+35+%29+%2B+40+=+80+\"
\n" ); document.write( "Multiply both sides by \"+5+\"
\n" ); document.write( "\"+4%2A%28+x%2F2+%2B+35+%29+%2B+200+=+400+\"
\n" ); document.write( "Divide through by \"+4+\"
\n" ); document.write( "\"+x%2F2+%2B+35+%2B+50+=+100+\"
\n" ); document.write( "\"+x%2F2+=+15+\"
\n" ); document.write( "\"+x+=+30+\"
\n" ); document.write( "There were 30 passengers originally
\n" ); document.write( "check:
\n" ); document.write( "1/2 got off, so \"+30+-+15+=+15+\"
\n" ); document.write( "left on bus. 35 boarded, so \"+15+%2B+35+=+50+\"
\n" ); document.write( "now on bus
\n" ); document.write( "1/5 got off, \"+50+-+10+=+40+\" left on bus
\n" ); document.write( "40 boarded, so \"+40+%2B+40+=+80+\" are now on bus
\n" ); document.write( "OK
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