University X has 3 Programs. Program A has a 10% acceptance rate with 58 students. Program B has 444 students. Together, Program A and B has a combined 50% acceptance rate. Program C has 742 students. Together, Programs A, B, C have a combined 44% acceptance rate.

What is the acceptance rate for just program C?

From this problem assume that everyone who is accepted into a program enrolls in that program. That is, the answer is strictly a math problem and does not relate to any distinction between "acceptance rate" or "admission rate." Assume these are the same. This is not a trick question relating to terms, rather it is a math problem testing understanding about how to correctly combine different percentages and extract a correct percentage for a subset of the data.

[Please note, the answer cannot be 44%. Another person answered: "-6%" which, of course, it could not correct be because 742 people were accepted/admitted into Program C.

There is a real answer.This is a solvable problem.

58 people enrolled with a 10% acceptance rate for program A. This means 580 applied.

We know 444 people were accepted in Program B. And Program A and B had a combined acceptance rate of 50%.We know 742 people were accepted in Program C. And together Program A, B, and C had an acceptance rate of 44%. We can assume that all who were accepted into a program ended up attending (that is, we can assume a 100% enrollment rate).

To get to the answer we need to figure out how 58 students at 10% acceptance rate for Program A plus X number of students at Y acceptance rate for Program B can reach 50% acceptance rate for the two programs combined. And how then factoring in 742 students for program C ends up with 44% acceptance rate for all three programs combined. And then figuring out from that what is the acceptance rate for just Program C.

In order for my questions not to be wasted, if you don't know how to calculate this please don't guess and allow someone who does know how to answer. Thanks.