Answer:
Step-by-step explanation: Total number of students = 32
Total number of ratio of students that enjoy Physics, Biology and Chemistry = 5 + 5 + 6 = 16
Number of boys that enjoy the three subjects = 16
Number of girls that enjoy the three subjects = 16
Number of students that enjoy Physics = 5/16 X 32 = 10
Number of students that enjoy Biology = 5/16 X 32 = 10
Number of students that enjoy Chemistry = 6/16 X 32 = 12
If number of boys that enjoy Physics = 4
∴ Number of girls that enjoy Physics = 10 - 4 = 6
The probability of girls that enjoy Chemistry = 0.25 = 1/4
∴ The number of girls that enjoy Chemistry = 1/4 X 12 = 3
Hence, the number of boys that enjoy Chemistry = 12 - 3 = 9
Number of boys that enjoy Biology = 9 + 4 - 10 = 13 - 10 = 3
∴ Number of girls that enjoy Biology = 10 - 3 = 7
