there are 126 student in year 99. 14 students do not play rugby or football. 42 play both rugby and football. the ratio of the students that only play football to the students that only play rugby is 7:3??? whats the answerr
Answer:
49:21
The students that only play football is 49, while the students that only play rugby is 21.
Problem:
There are 126 students in year 99, 14 students do not play rugby or football. 42 play both rugby and football. The ratio of the students that only play football to the students that only play rugby is 7:3.
IF you are finding for the actual ratio of the number of students that only play football to those who only play rugby, here is the solution.
Solution:
*First, know how many students play only one sports. Subtract the number of students that dont play rugby or football and the students that play either.
126 – 14 – 42 = 70
*Next, find the sum of the ratios (7:3)
7+3=10
*Divide the number of students that play only one sport by the sum of the ratios.
70/10=7
*Assume there is a variable beside the ratios, change it into the quotient (7).
7n : 3n = 7(7) : 3(7) = 49:21
*The answer is 49:21
*To check the answer, add the actual ratio and the sum should be equal to the total of students that play only one sport.
49 + 21 = 70
