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Bunuel
A school is comprised of 400 people both teachers and students. If 10 percent of the people are teachers and 100 new people enter the school in the following year, how many of those people must be teachers to increase the percentage of teachers to 20 percent?

A. 10
B. 15
C. 25
D. 50
E. 60

We are given that there are 400 teachers and students in a school, and 10 percent of the people are teachers. Thus, there are 400 x 0.1 = 40 teachers.

If 100 new people enter the school the following year, we will have a total of 500 people (teachers and students) in the school. We need to determine how many of the new people must be teachers to increase the percentage of teachers to 20%.

We can let t = the number of new teachers and create the following equation:

teachers/total: (40 + t)/500 = 20/100

(40 + t)/500 = 1/5

5(40 + t) = 500

200 + 5t = 500

5t = 300

t = 60

Answer: E
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