Final answer:
To find the ratio of teachers who own cars to those who do not, subtract the number who own cars (25) from the total (60), resulting in 35 who don't. The initial ratio 25:35 simplifies to 5:7 after dividing by the GCD of 5.
Step-by-step explanation:
The question is asking us to find the ratio of teachers who own cars to those who do not in a school where 25 out of 60 teachers own cars.
To determine this ratio, we first need to calculate the number of teachers who do not own cars. This is found by subtracting the number of teachers who own cars (25) from the total number of teachers (60), giving us 35 teachers who do not own cars.
Now, the ratio of teachers who own cars to those who do not is 25:35. However, this ratio can be simplified by finding the greatest common divisor (GCD) of 25 and 35, which is 5. We divide both numbers by 5 to get the simplified ratio.
Dividing both terms by the GCD, we get:
25 ÷ 5 = 5 (teachers who own cars)
35 ÷ 5 = 7 (teachers who do not own cars)
Thus, the simplified ratio of teachers who own cars to those who do not is 5:7.