Question : Directions: One day, 90 students were traveling in a bus and the ratio of the number of boys to girls was 2: 1. The next day, the number of students remained the same, but the ratio of the number of boys to girls became 3: 2. What was the difference between the numbers of boys traveling in the bus on both the days?
Option 1: 18
Option 2: 6
Option 3: 14
Option 4: 30
Correct Answer: 6
Solution :
Given:
90 students were traveling in a bus and the ratio of the number of boys to that of girls was 2: 1
According to the question,
2x + x = 90
3x = 90
x = 90 ÷ 3
x = 30
Therefore, Number of Boys = 60, Number of Girls = 30;
The next day, the number of students remained the same, but the ratio of the number of boys to that of girls became 3: 2
3x + 2x = 90
5x = 90
x = 90 ÷ 5
x = 18
Therefore, the Number of Boys = 54, The Number of Girls = 36
So the difference between the numbers of boys traveling in the bus = 60 – 54 = 6
Therefore, the difference between the numbers of boys traveling on the bus on both days is 6. Hence, the second option is correct.
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