Search 83,239 tutors
FIND TUTORS
Ask a question
0 0

How many passengers?

A bus stopped at Ryde. Half the passengers got off and 8 new passengers got on. At the next stop, 1/3 of the passengers got off and 4 got on. And at the next stop, 1/5 of the passengers got off and 5 new passengers got on. The bus then had 21 passengers. How many passengers did the bus have just before it stopped at Ryde?
 
Tutors, please sign in to answer this question.

1 Answer

The bus had 32 passengerat before it stopped at Ryde.

Comments

You have to start from the end & work backwards with this problem. 
 
There were 21 passengers after 5 got on the bus. Before they got on, there were 21 - 5 or 16 passengers. Before those 5 got one, 1/5 of passengers got off. This means 4/5 stayed on which denotes:
 
4/5 * x = 16
 
x = 20
 
Before this, 4 got on after 1/3 got off.
 
20 - 4 = 16
 
2/3 * y = 16
 
y = 24
 
Before this, 8 passengers got on after 1/2 got off
 
24 - 8 = 16
 
1/2 * z = 16
 
z = 32