A Bus started from a Bus stop with some passengers. The ratio of the number of male and female passengers when it started was 4:1 at its first stop 16 male passengers and 8 female passengers got down and 12 female passengers got in the ration of the number of male and female passengers then was 8:3. Find the number of passengers when the Bus started?
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Given the ratio of number of males and females passengers at the start is 4 : 1
Let the number of male passengers = 4x
Number of female passengers = x.
At the first stop,
16 male passengers got down ,
Number of males = 4x - 16 .
8 female passengers got down and 12 got in.
Number of females = x - 8 + 12 = x + 4 .
Now,
Given ratio = 8 : 3 .
4x - 16 : x + 4 = 8 : 3
3(4x - 16 ) = 8 ( x + 4 )
12x - 48 = 8x + 32
12x - 8x = 48 + 32
4x = 80
x = 20 .
Number of passengers when the bus = 4x + x = 5(20) = 100
Let the number of male passengers = 4x
Number of female passengers = x.
At the first stop,
16 male passengers got down ,
Number of males = 4x - 16 .
8 female passengers got down and 12 got in.
Number of females = x - 8 + 12 = x + 4 .
Now,
Given ratio = 8 : 3 .
4x - 16 : x + 4 = 8 : 3
3(4x - 16 ) = 8 ( x + 4 )
12x - 48 = 8x + 32
12x - 8x = 48 + 32
4x = 80
x = 20 .
Number of passengers when the bus = 4x + x = 5(20) = 100
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