Question

In Bill's school, there are 20 teachers and 705 students. What is the ratio of teachers to students?

A) 1:705
B) 20:705
C) 705:20
D) 705:1

Answer 1

The ratio of teachers to students at Bill's school is 20:705, which is Option B. It's already in the simplest form since 20 and 705 have no common factors other than 1.

Step-by-step explanation:

To calculate the ratio of teachers to students, we need to compare the number of teachers to the number of students. In Bill's school, there are 20 teachers and 705 students. The ratio is therefore 20 teachers to 705 students, which can be written as 20:705.

However, ratios are often simplified to their smallest whole number form. To simplify the ratio of 20:705, both numbers need to have any common factors divided out. Since 20 and 705 have no common factors other than 1, the ratio is already in its simplest form. Hence, the correct answer is Option B, 20:705.