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# If 70 percent of the female and 90 percent of the male students in the

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Senior RC Moderator
Joined: 02 Nov 2016
Posts: 4567
GPA: 3.39
If 70 percent of the female and 90 percent of the male students in the  [#permalink]

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18 Feb 2019, 09:59
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Difficulty:

5% (low)

Question Stats:

95% (01:31) correct 5% (03:10) wrong based on 40 sessions

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If 70 percent of the female and 90 percent of the male students in the senior class at a certain school are going on the senior trip and the senior class is 60 percent female, what percent of the senior class is going on the senior trip?

A. 82%
B. 80%
C. 78%
D. 76%
E. 72%

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3158
Re: If 70 percent of the female and 90 percent of the male students in the  [#permalink]

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18 Feb 2019, 18:44
1

Solution

Given:
• 70% of the female students and 90% of the male students in the senior class at a certain school are going on the senior trip
• The senior class is 60 percent female

To find:
• The percent of the senior class going on the senior trip

Approach and Working:
As all the information provided are in terms of percentages only, we can start solving the question by assuming the total number of students in the senior class as 100.
• Number of female students in senior class = 60% of 100 = 60
• Number of male students in senior class = 100 – 60 = 40

Also,
• Number of female students going for senior trip = 70% of 60 = 42
• And, number of male students going for senior trip = 90% of 40 = 36

Total number of students going for the senior trip = (42 + 36) = 78
As the total number of students is 100, percentage of students going for the trip = 78%

Hence, the correct answer is option C.

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Joined: 18 Aug 2017
Posts: 5428
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: If 70 percent of the female and 90 percent of the male students in the  [#permalink]

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18 Feb 2019, 10:41
If 70 percent of the female and 90 percent of the male students in the senior class at a certain school are going on the senior trip and the senior class is 60 percent female, what percent of the senior class is going on the senior trip?

A. 82%
B. 80%
C. 78%
D. 76%
E. 72%

solved it using 2x2 grid
------female------ male ---- total
trip--- 42---------36-------78
no trip-18---------4--------22
total---60--------40--------100

IMO C
Director
Joined: 04 Sep 2015
Posts: 664
Location: India
WE: Information Technology (Computer Software)
Re: If 70 percent of the female and 90 percent of the male students in the  [#permalink]

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18 Feb 2019, 10:44
solution:
Assuming total students to be 100,then females=60 and males=40

70% for 60=42 and 90% of 40=36

42+36=78

78/100=78% thus option C is correct.
VP
Joined: 31 Oct 2013
Posts: 1489
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: If 70 percent of the female and 90 percent of the male students in the  [#permalink]

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18 Feb 2019, 11:13
1
If 70 percent of the female and 90 percent of the male students in the senior class at a certain school are going on the senior trip and the senior class is 60 percent female, what percent of the senior class is going on the senior trip?

A. 82%
B. 80%
C. 78%
D. 76%
E. 72%

let the total students be 100.

Female = 60

male = 40

female going to the trip = 60*70% = 42

Male going to the trip = 40 * 90% = 36

Total ( male + female ) going to the trip = 42 + 36 = 78

Required % : percent of the senior class is going on the senior trip:

Senior class = 100

students of the senior class going to trip = 78

(78/100) *100 = 78% .

Re: If 70 percent of the female and 90 percent of the male students in the   [#permalink] 18 Feb 2019, 11:13
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