64% of the students of a class are girls and 81.25% of the girls have chosen soccer as their favourite sport. If 143 girls have chosen soccer as their favourite sport, what is the total number of students in the class?
Answer & explanation
Correct answer: option 4
64% = \(\frac{16}{25}\)
let total number of students in class = 100x
Girls chosen soccer is 81.25% of the 64% of 100x ,
\(\frac{16}{25}\) × \(\frac{81.25}{100}\) × 100X = 143 (Given)
100X = 275
So , Total number of students in the class = 275