Question

The ratio of boys to girls in a class is 7 to 3. Among the options below, an acceptable value for the total number of students in the class is:

• A. 21
• B. 37
• C. 50
• D. 73

Hint:

To check ratio-based questions, always ensure the total number is a multiple of the sum of the ratio parts.

Answer 1

The Correct Option is C

To determine the total number of students in the class based on the given ratio of boys to girls, we proceed with the following steps:

1. The problem states that the ratio of boys to girls is \(7:3\). This implies that for every 10 students (7 boys + 3 girls), the proportion remains consistent.
2. Any acceptable total number of students in the class must be a multiple of the sum of these two ratio parts, i.e., 10.
3. To find the acceptable total numbers, we check which of the given options is a multiple of 10:
   • 21 \div 10 = 2.1: Not an integer, hence not a multiple of 10.
   • 37 \div 10 = 3.7: Not an integer, hence not a multiple of 10.
   • 50 \div 10 = 5: Is an integer, and is a multiple of 10.
   • 73 \div 10 = 7.3: Not an integer, hence not a multiple of 10.
4. Therefore, among the given options, only 50 is a valid total number of students, as it maintains the class's specified boys-to-girls ratio.

Hence, the correct answer is: 50.