All students in a certain law school are in either first, second, or third year,

Question

All students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year. All students in the school are either full-time or part-time, and there are twice as many full-time students as part-time students. All students in first year are full-time, and there are as many part-time students in second year as there are in third year. If there are 600 total students in the law school, how many are full-time students in third year?

a. 100
b. 200
c. 300
d. 400
e. 500

Answer: A
Source: Princeton Review

Brent@GMATPrepNow · Answer

BTGModeratorVI wrote: ↑Wed Jan 06, 2021 8:16 am All students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year. All students in the school are either full-time or part-time, and there are twice as many full-time students as part-time students. All students in first year are full-time, and there are as many part-time students in second year as there are in third year. If there are 600 total students in the law school, how many are full-time students in third year? a. 100 b. 200 c. 300 d. 400 e. 500 Answer: A Source: Princeton Review There are twice as many full-time students as part-time students...There are 600 total students in the law school Let x = number of part-time students So, 2x = number of full-time students We can write: x + 2x = 600 Simplify: 3x = 600 Solve: x = 200 So, there are 200 part-time students and 400 full-time students All students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year.......there are 600 total students in the law school 600/3 = 200 So, there are: 200 students in first year 200 students in second year 200 students in third year All students in first year are full-time, and there are as many part-time students in second year as there are in third year. So, the 200 part-time students are equally distributed between the second and third year students, which means there are 100 part-time students in the second year, and 100 part-time students in the third year. If there are 100 part-time students in the third year, then the remaining 100 third-year students must be full-time Answer: A Cheers, Brent

Scott@TargetTestPrep · Answer

BTGModeratorVI wrote: ↑Wed Jan 06, 2021 8:16 am All students in a certain law school are in either first, second, or third year, and there is an equal number of students in each year. All students in the school are either full-time or part-time, and there are twice as many full-time students as part-time students. All students in first year are full-time, and there are as many part-time students in second year as there are in third year. If there are 600 total students in the law school, how many are full-time students in third year? a. 100 b. 200 c. 300 d. 400 e. 500 Answer: A Solution: Since there are 600 total students in the law school, there are 200 students in each year. Furthermore, there are 400 full-time and 200 part-time students. Since all students in first year are full-time, there are no students in first year who are part-time. Since there are as many part-time students in second year as there are in third year, there must be 200/2 = 100 students in third year who are part-time. Therefore, there must be 200 - 100 = 100 students in third year who are full-time. Answer: A

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All students in a certain law school are in either first, second, or third year,

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