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# In a high school with 500 students, 15% of the students are freshmen.

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Math Expert
Joined: 02 Sep 2009
Posts: 53020
In a high school with 500 students, 15% of the students are freshmen.  [#permalink]

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22 Jan 2019, 01:33
1
00:00

Difficulty:

25% (medium)

Question Stats:

85% (01:05) correct 15% (02:45) wrong based on 18 sessions

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In a high school with 500 students, 15% of the students are freshmen. If 50 additional students enroll in the school, how many of those students would have to be freshmen for the number of freshmen to be 20% of the student body?

A 10

B 25

C 35

D 100

E 175

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Concentration: Accounting, Finance
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Re: In a high school with 500 students, 15% of the students are freshmen.  [#permalink]

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22 Jan 2019, 01:40
Bunuel wrote:
In a high school with 500 students, 15% of the students are freshmen. If 50 additional students enroll in the school, how many of those students would have to be freshmen for the number of freshmen to be 20% of the student body?

A 10

B 25

C 35

D 100

E 175

After new students enrollment total student = 500 + 50 = 550.

we want to get 20% freshmen = 550 * 20% = 110.

500 students include 25% freshmen :

500 * 25/100 = 75.

Difference = 110 -75 = 35.

From new students there must be 35 students freshmen in order to keep the freshmen % 20.

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Re: In a high school with 500 students, 15% of the students are freshmen.  [#permalink]

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22 Jan 2019, 04:54
Bunuel wrote:
In a high school with 500 students, 15% of the students are freshmen. If 50 additional students enroll in the school, how many of those students would have to be freshmen for the number of freshmen to be 20% of the student body?

A 10

B 25

C 35

D 100

E 175

500* 15% = 75
new strength 550
550 * .20 = 110
110-75 = 35
IMO C
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Re: In a high school with 500 students, 15% of the students are freshmen.   [#permalink] 22 Jan 2019, 04:54
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