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Intern
Joined: 09 May 2022
Posts: 16
Given Kudos: 24
Location: Canada
The membership of a club is 40 percent female. If 70 percent of the me
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05 Apr 2023, 09:21
05 Apr 2023, 09:21
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(01:48)
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The membership of a club is 40 percent female. If 70 percent of the members of the club are age 35 or older, and 80 percent of those are male, what percent of the females in the club are younger than 35?
A) 20%
B) 26%
C) 35%
D) 60%
E) 65%
A) 20%
B) 26%
C) 35%
D) 60%
E) 65%
I get my answer as 26% but textbook says 65% (which i believe is not true, as the question is asking, what is the total percent of female in the entire club that is younger than 35, so we would do 26/100 AND NOT 26/40)
Please advise as getting very confused on the question terminology.
Thanks!
Please advise as getting very confused on the question terminology.
Thanks!
Quant Chat Moderator
Joined: 22 Dec 2016
Posts: 3130
Given Kudos: 1857
Location: India
Concentration: Strategy, Leadership
Re: Problem Solving (Math - Percents)
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05 Apr 2023, 09:43
05 Apr 2023, 09:43
1
Kudos
paramdesai204 wrote:
Hey community, can you please help me solve this question: "the membership of a club is 40 percent female. If 70 percent of the members of the club are age 35 or older, and 80 percent of those are male, what percent of the females in the club are younger than 35?"
A) 20%
B) 26%
C) 35%
D) 60%
E) 65%
I get my answer as 26% but textbook says 65% (which i believe is not true, as the question is asking, what is the total percent of female in the entire club that is younger than 35, so we would do 26/100 AND NOT 26/40)
Please advise as getting very confused on the question terminology.
Thanks!
A) 20%
B) 26%
C) 35%
D) 60%
E) 65%
I get my answer as 26% but textbook says 65% (which i believe is not true, as the question is asking, what is the total percent of female in the entire club that is younger than 35, so we would do 26/100 AND NOT 26/40)
Please advise as getting very confused on the question terminology.
Thanks!
Hey!
You can use a 2 * 2 matrix to solve the question. Let's assume that the number of members in the club = 100
Step 1 - Create the 2 * 2 matrix. We have two sets of data elements in this question
1) Males & Females
2) Individuals greater and less than 30 years of age.
So plot the information on the matrix as shown below
Attachment:
1.jpg [ 24.79 KiB | Viewed 1473 times ]
Step 2 - Fill in the information provided by the statement "the membership of a club is 40 percent female. If 70 percent of the members of the club are age 35 or older"
Attachment:
2.jpg [ 32.73 KiB | Viewed 1436 times ]
Step 3 - Fill in the information provided by the statement " .... and 80 percent of those are male"
Attachment:
3.jpg [ 38.82 KiB | Viewed 1420 times ]
Step 4 - Fill in the missing cells
Attachment:
4.jpg [ 42.57 KiB | Viewed 1399 times ]
Step 5 - Solve the question - what percent of the females in the club are younger than 35
Required Percentage = \(\frac{\text{Number of females under 35} }{ \text{Total number of females}} * 100\)
\(\frac{26 }{ 40} * 100\) = 65%
Hope this helps !
The membership of a club is 40 percent female. If 70 percent of the me
[#permalink]
05 Apr 2023, 10:03
05 Apr 2023, 10:03
1
Kudos
Expert Reply
paramdesai204 wrote:
The membership of a club is 40 percent female. If 70 percent of the members of the club are age 35 or older, and 80 percent of those are male, what percent of the females in the club are younger than 35?
A) 20%
B) 26%
C) 35%
D) 60%
E) 65%
A) 20%
B) 26%
C) 35%
D) 60%
E) 65%
I get my answer as 26% but textbook says 65% (which i believe is not true, as the question is asking, what is the total percent of female in the entire club that is younger than 35, so we would do 26/100 AND NOT 26/40)
Please advise as getting very confused on the question terminology.
Thanks!
Please advise as getting very confused on the question terminology.
Thanks!
The question asks to find the percentage of young females out of the total number of females in the club: (young females)/(females)*100. Assume there are 100 members.
• 40 members are female.
• 70 members are old.
• 80% of those are male, so 20% of those are female. This means that 70*0.2 = 14 members are old females.
• Since there are 40 females in total, the remaining 26 females are young.
Therefore, (young females)/(total females)*100 = 26/40*100 = 65%.
Answer: E.
