32 students were asked which of the sciences they enjoy the most. 4 of the boys said they enjoy Physics. The ratio between boys and girls is

Question

32 students were asked which of the sciences they enjoy the most. 4 of the boys said they enjoy Physics. The ratio between boys and girls is 1 : 1 . The probability of picking a girl at random who enjoys Chemistry is 0.25 . Twice as many of the boys said they enjoy Chemistry compared to the girls. The ratio of students who said they enjoyed Physics, Biology and Chemistry was 5 : 5 : 6 respectively.

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Maya 2 weeks 2022-01-11T00:33:41+00:00 1 Answer 0 views 0

Answers ( )

  1. Charlotte
    0
    2022-01-11T00:35:28+00:00

    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

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