Final answer:
The ratio of faculty to students at the school with 15 teachers, 20 teaching assistants, and 200 students is 7 to 40, when simplified.
Step-by-step explanation:
To calculate the ratio of faculty to students at the school, first, we need to determine the total number of faculty members. The school has 15 teachers and 20 teaching assistants, which adds up to 35 faculty members in total. With 200 students at the school, the ratio of faculty to students can be calculated as follows:
Faculty to students ratio = Number of faculty members / Number of students
Faculty to students ratio = 35 / 200
To simplify this ratio, both the numerator and the denominator can be divided by 5:
Faculty to students ratio = 7 / 40
This means that for every 7 faculty members, there are 40 students. This is the simplified ratio representing the faculty-to-student relationship in the school.