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Bunuel
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Among the incoming students at a certain college, an equal number of Nov 23, 2022 5:00 pm
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85% (hard)

Question Stats:

61% (03:07) correct 39% (02:58) wrong based on 197 sessions

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Among the incoming students at a certain college, an equal number of full-time and part-time students received a welcome package. If 3/16 of the incoming full-time students and 5/12 of the incoming part-time students received a welcome package, what fraction of the incoming students received a welcome package?

A. 15/58
B. 2/7
C. 29/96
D. 9/29
E. 19/48
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Himanshiog
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Among the incoming students at a certain college, an equal number of Jan 12, 2023 11:50 am
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Can someone please solve this question?

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wadhwakaran
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Among the incoming students at a certain college, an equal number of Jan 12, 2023 12:29 pm
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Out of every 16 full time students, 3 received welcome package
If total full time students =16x
Students receiving welcome package= 3x

Out of every 12 part time students, 5 received welcome package
If total part time students =12y
Students receiving welcome package= 5y

3x=5y
X=5, y=3
Total students= 16x+12y= 80+36=116
Total students who received welcome package= 30
Ratio= 30/116=15/58
Hope that helps Himanshiog

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Among the incoming students at a certain college, an equal number of Jan 15, 2023 7:33 am
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solve by 2x2 matrix

-----FT---PT---
WC--3x----5y--
NWC--13x--7y--
total-- 16x--12y

given that an equal number of full-time and part-time students received a welcome package
so
3x=5y ; 15
x= 5 an y =3

-----FT---PT---total
WC--15----15-- 30
NWC--65--21-- 86
total-- 80--36-- 116
fraction of the incoming students received a welcome package

30/116 ; 15/58
OPTION A


Bunuel
Among the incoming students at a certain college, an equal number of full-time and part-time students received a welcome package. If 3/16 of the incoming full-time students and 5/12 of the incoming part-time students received a welcome package, what fraction of the incoming students received a welcome package?

A. 15/58
B. 2/7
C. 29/96
D. 9/29
E. 19/48
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Among the incoming students at a certain college, an equal number of Jan 15, 2023 11:24 pm
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Students who received the package are the same number between both groups:

3/16x = 5/12y

so

x/y = 20/9

2*(3/16x) = 3/8 * 20 = 15/2 is the total number of students who received the package

Total incoming students are x + y = 29

The fraction is (15/2)/29 = 15/58. OPTION A
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Among the incoming students at a certain college, an equal number of Jan 20, 2025 4:19 pm
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