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Thirty percent of the members of a swim club have passed the

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Thirty percent of the members of a swim club have passed the [#permalink]

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Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?

(A) 60
(B) 80
(C) 100
(D) 120
(E) 140
[Reveal] Spoiler: OA
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Re: Thirty percent of the members of a swim club have passed the [#permalink]

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Walkabout wrote:
Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?

(A) 60
(B) 80
(C) 100
(D) 120
(E) 140


30% of the members have passed the test, thus 70% have not passed the test.

We also know that 30+12=42 members have not passed the test, thus 0.7*Total=42 --> Total=60.

Answer: A.
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Re: Thirty percent of the members of a swim club have passed the [#permalink]

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New post 30 Nov 2013, 21:58
Bunuel wrote:
Walkabout wrote:
Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?

(A) 60
(B) 80
(C) 100
(D) 120
(E) 140


30% of the members have passed the test, thus 70% have not passed the test.

We also know that 30+12=42 members have not passed the test, thus 0.7*Total=42 --> Total=60.

Answer: A.


The approach provided above can be used to solve this problem easily. however, i want to point out that this could also solved by using double sided set matrix method, similar to the problem which Bunuel explained at http://gmatclub.com/forum/of-30-applicants-for-a-job-14-had-at-least-4-years-144455.html#p1159040
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Re: Thirty percent of the members of a swim club have passed the [#permalink]

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New post 21 Apr 2016, 08:21
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Re: Thirty percent of the members of a swim club have passed the [#permalink]

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New post 21 Apr 2016, 11:32
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Walkabout wrote:
Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?

(A) 60
(B) 80
(C) 100
(D) 120
(E) 140


Draw a table as below -

Attachment:
Capture.PNG
Capture.PNG [ 4.33 KiB | Viewed 211 times ]


Now check 70% = 42 (12+30)

If 70% = 42
Then 100% = 42/70 *100 => 60

So there are 60 people in the wsimming club.
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Re: Thirty percent of the members of a swim club have passed the [#permalink]

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New post 27 Apr 2016, 09:32
Walkabout wrote:
Thirty percent of the members of a swim club have passed the lifesaving test. Among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. How many members are there in the swim club?

(A) 60
(B) 80
(C) 100
(D) 120
(E) 140


Solution:

We are given that 30 percent of the members of the have passed the lifesaving test. If we use variable T for the total number of members, we can say:

0.3T = number of members who passed the test

Since we know that 0.3T is the number of members who passed the test, we can determine that 0.7T members did not pass the test. Next we are given that among the members who have not passed the test, 12 have taken the preparatory course and 30 have not taken the course. With this information we can set up the following equation:

12 + 30 = 0.7T

42 = 0.7T

420 = 7T

60 = T

Thus, there are 60 members in the swim club.

Answer is A.
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Re: Thirty percent of the members of a swim club have passed the   [#permalink] 27 Apr 2016, 09:32
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