Comprehension: The following table shows the number of students enrolled in four different Colleges (A-D) during the four years from 2020 to 2023. Based on the data in the table, answer the questions that follow.
If the ratio between number of girls and boys in College B in 2021 is 3 : 5 and the ratio between the number of girls and boys in College C in 2022 is
7: 5, then what is the ratio between the number of girls in College B in 2021 to the number of boys of College C in 2022?
2 : 5
3 : 5
1 : 3
2 : 3
3 : 5
The correct option is 3 : 5.
Let us find the step-by-step ratio by analyzing the data provided in the table:
1. Total students in College B in 2021:
From the table, the number of students enrolled in College B in the year 2021 is 800.
The ratio of girls to boys in College B in 2021 is given as 3 : 5.
Let the number of girls be 3x and the number of boys be 5x.
Therefore, we have:
Thus, the number of girls in College B in 2021 is:
2. Total students in College C in 2022:
From the table, the number of students enrolled in College C in the year 2022 is 1200.
The ratio of girls to boys in College C in 2022 is given as 7 : 5.
Let the number of girls be 7y and the number of boys be 5y.
Therefore, we have:
Thus, the number of boys in College C in 2022 is:
3. Ratio between the number of girls in College B (2021) and the number of boys in College C (2022):
Required Ratio = Girls in B (2021) : Boys in C (2022)
Simplifying by dividing both sides by 100, we get: