MathematicsWhen a bus started from the first stop, the number of male passengers to the number of female passengers was 3:1. At the first stop, 16 passengers got down and 6 more female passengers got in. The ratio of the male to the female passenger now becomes 2:1. What was the total number of passengers in the bus when it started from the first stop?

When a bus started from the first stop, the number of male passengers to the number of female passengers was 3:1. At the first stop, 16 passengers got down and 6 more female passengers got in. The ratio of the male to the female passenger now becomes 2:1. What was the total number of passengers in the bus when it started from the first stop?


  1. A
      64              
  2. B
      65              
  3. C
      46              
  4. D
      56 

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    Solution:

    Concept- In the given question we have that ratio of male and female ratio and after first stop the ratio changes and we need to calculate the total number of passengers when it started.
    Let’s take the x is common number in the ratio 3:1
    Let initially, the number of males and females in the bus be 3 x and respectively.
    Total number of passengers At the first stop, the number of male passengers
    and female passengers So, the total number of passengers, initially Hence, the correct answer is option 1) 64
     
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