Question : Directions: A total of 60 students are traveling in a bus. The ratio of the number of boys to that of girls is 2 : 1. Then, 15 boys get down 5 girls get on the bus at the first stop, 5 boys get in and 10 girls get down from the bus at the second stop. What is the ratio of the number of boys to that of girls in the bus after the second stop?
Option 1: 3 : 2
Option 2: 2 : 1
Option 3: 2 : 3
Option 4: 3 : 1
Correct Answer: 2 : 1
Solution :
Given:
A total of 60 students are traveling in a bus. The ratio of the number of boys to that of girls is 2 : 1
2x + x = 60; 3x = 60; x = 60 ÷ 3; x = 20
Thus, Number of Boys = 2x = 40; Number of Girls = x = 20
Then, 15 boys get down and 5 girls get on the bus at the first stop
The remaining boys after the first stop; 40 – 15 = 25
The remaining girls after the first stop; 20 + 5 = 25
At the second stop, 5 boys get in and 10 girls get down from the bus.
The remaining boys after the second stop; 25 + 5 = 30
The remaining girls after the second stop; 25 – 10 = 15
So, the ratio of Boys: Girls = 30 : 15; 2 : 1. Hence, the second option is correct.
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