The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers ?
This might be really embarrasing, since I normally score Q47 or higher, but this question really made me stumble.
What is wrong with my approach (I always use this approach on ratio questions and it normally works well):
Plug in E:25:1 is the new ratio
-> 1 = 1*15 = 15 teachers and 25 = 25*15 = 375 students
15 - 5 = 10 teachers before the increase
375 - 50 = 325 students before the increse
so the old ratio is 325 : 10 which is unequal to 30:1 Where is my mistake?
PS. No need to tell me others ways how to solve it. I am familiar with the 'equations ways'.
Cheers a lot and I am happy ti give away Kudos
The very first step is not correct: the present ratio of students to teachers is 30 to 1, not 25 to 1. So if you want to plug t=15 you should use 30:1 ratio, not 25:1.