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10 September, 20:39

In RSM camp, there are four counselors for every fifty seven students and three teachers for every five counselors.

Write the ratio of students to counselors to teachers, respectively.

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  1. 10 September, 21:07
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    Students : Counselors : Teachers = 285: 20 : 12

    Step-by-step explanation:

    In the camp, the ratio of:

    (C: S) Counselors : Students is 4 : 57

    (T: C) Teachers : Counselors is 3 : 5

    To determine the ratio of - Students : Counselors : Teachers

    Here given - C : S = 4 : 57

    Multiplying both sides by 5, we get

    C: S = 4 x 5 : 57 x 5 = 20 : 285

    So, for every 20 counselors, there are 285 students ... (1)

    Similarly, given Teachers : Counselors is 3 : 5

    Multiplying both sides by 4, we get

    T : C = 3 x 4 : 5 x 4 = 12 : 20

    So, for every 12 teachers, there are 20 Counselors ... (2)

    Hence, in both equation 1 and 2 the number of counselors is same = 20.

    Hence, both the ratios acne be combined.

    So we get C : S = 20 : 285 and T : C = 12: 20

    Inverting the values

    ⇒ S : C = 285 : 20 and C : T = 20 : 12

    or, S : C : T = 285: 20 : 12

    or, Students : Counselors : Teachers = 285: 20 : 12

    Hence, for every 285 students there are 20 counselors and 12 teachers.
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