Answer:
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.
