Question

In a college, the ratio of the number of boys to girls is 8 : 5. If there are 200 girls, the total number of students in the college is

• A. 420
• B. 520
• C. 620
• D. 720

Answer 1

Answer:

B. 520

• The given ratio of the number of boys to girls is 8 : 5. This means that if we consider the total student population divided into equal 'parts', boys account for 8 parts and girls for 5 parts.

• We are given that there are 200 girls in the college.

• Since the ratio for girls is 5 parts, we can set up the equation: 5 parts = 200 girls.

• To find the value of one part, divide the total number of girls by their ratio share: 1 part = 200 / 5 = 40 students.

• Now, calculate the number of boys using their ratio share (8 parts): Number of boys = 8 parts * 40 students/part = 320 boys.

• The total number of students in the college is the sum of boys and girls: Total students = Number of boys + Number of girls = 320 + 200 = 520 students.