Question

A small college has 1200 students and 80 professors. The college is planning to increase enrollment to 1450 students next year. How many new professors should be hired to keep the ratio of students to professors the same

Answer 1

The ratio of the students to the professors is 1200:80 = 30:2 = 15.
- After enrollment the number of students will be 1450.
- So the number of professors after enrollment will become the unknown number, x.

➡️ 1200/80 = 1450/x

➡️ 1200x = 1450 * 80

➡️ 1200x = 116,000

➡️ x = 116,000/1200

➡️ x= 96.67