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.
Accepted Solution
A:
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.