SOLUTION: a number of people boarded a bus at the terminal.at the first shop,half of the pessangers got off and 1 got on.at the second stop,1/3 of the pessangers on the bus got off and 1 got

Algebra ->  Numeric Fractions Calculators, Lesson and Practice -> SOLUTION: a number of people boarded a bus at the terminal.at the first shop,half of the pessangers got off and 1 got on.at the second stop,1/3 of the pessangers on the bus got off and 1 got      Log On


   

Question 1153155: a number of people boarded a bus at the terminal.at the first shop,half of the pessangers got off and 1 got on.at the second stop,1/3 of the pessangers on the bus got off and 1 got on.if the bus then had 15 pessangers,how many were there when the bus left the terminal??
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number that boarded at the terminal
After the 1st stop;
+x%2F2+%2B+1+ are left
After 2nd stop:
+%28+2%2F3+%29%2A%28+x%2F2+%2B+1+%29+%2B+1+ are left
+%28+2%2F3+%29%2A%28+x%2F2+%2B+1+%29+%2B+1+=+15+
+x%2F3+%2B+2%2F3+%2B+1+=+15+
+x%2F3+%2B+5%2F3+=+15+
Multiply both sides by +3+
+x+%2B+5+=+45+
+x+=+40+
40 passengers left the terminal
-------------------------------------
check:
1/2 got off, 1 got on
+40+-+20+%2B+1+=+21+ left
2/3 are left, 1 got on
+14+%2B+1+=+15+ are left
OK