Final answer:
To determine the number of students corresponding to 1,575 teachers with a ratio of 15:1, set up a proportion and solve for x. After cross-multiplication and division, the calculation shows there would be 105 students for 1,575 teachers.
Step-by-step explanation:
To solve a problem involving a ratio, such as having 1,575 teachers with a ratio of 15:1, one must determine what the ratio refers to. In this case, it sounds like we are given the ratio of teachers to another group, possibly students, but we need more information to solve it completely.
If we assume the ratio is referring to 15 teachers for every student, then we can set up a proportion to find the number of students by equating 15 teachers / 1 student = 1,575 teachers / x students. We can then cross-multiply to find the value of x. 15x = 1,575, and by dividing both sides by 15, we find that x = 105. So there are 105 students for 1,575 teachers if the given ratio is to be applied.