There are a total of 200 students in a class who play either badminton or tennis or both. The number of boys playing only tennis is 1/3 of the total n...

There are a total of 200 students in a class who play either badminton or tennis or both. The number of boys playing only tennis is 1/3 of the total number of girls playing only one game. The number of girls playing badminton equals the number of boys in the class. The number of girls playing both games is 40% more than the number of boys playing only badminton, and the number of girls playing only tennis is twice the number of boys playing only badminton. The number of boys playing both games is half the number of girls playing only badminton.

Compare the following quantities:

• Quantity I: Number of boys playing tennis
• Quantity II: Number of girls playing only tennis
• Quantity III: Difference between the number of boys playing only badminton and the number of students playing both games together

Which of the following is true?