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.

Answer:Students : Counselors : Teachers = 285: 20 : 12Step-by-step explanation:In the camp, the ratio of: ( C: S )  Counselors : Students   is  4   :  57 ( T: C )  Teachers :   Counselors  is  3   :  5To determine the ratio of   -  Students : Counselors : TeachersHere given      -  C : S  = 4 : 57Multiplying both sides by 5, we getC: S  = 4 x 5  : 57 x 5  = 20 : 285So, for every 20 counselors, there are 285 students      ...... (1)Similarly, given   Teachers :   Counselors  is  3   :  5Multiplying both sides by 4, we getT  : C  = 3 x 4  : 5 x 4  = 12  : 20So, 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: 20Inverting the values⇒  S : C  = 285 : 20         and C : T  = 20 : 12or, S : C : T  = 285: 20 : 12or, Students : Counselors : Teachers = 285: 20 : 12Hence, for every 285 students there are 20 counselors and 12 teachers.