Of the 84 parents who attended a meeting at a school, 35

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Of the 84 parents who attended a meeting at a school, 35 [#permalink]

02 Jul 2012, 02:18

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Question Stats:

61% (02:38) correct

38% (03:05) wrong

based on 7 sessions

The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

(A) 25
(B) 36
(C) 38
(D) 42
(E) 45

Diagnostic Test
Question: 14
Page: 22
Difficulty: 650

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Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]

02 Jul 2012, 03:37

This post received
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Quote:

Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

(A) 25
(B) 36
(C) 38
(D) 42
(E) 45

Hi,

Difficulty level: 600

let, number of parents who neither bring refreshment nor supervise = x

Attachment:

venn2.jpg [ 11.03 KiB | Viewed 1293 times ]

then,
35-11+1.5x+x=84
x = 24
or Parents who bring refreshment = 1.5x = 36

Answer is (B)

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Last edited by cyberjadugar on 09 Jul 2012, 01:00, edited 1 time in total.

GMAT Club team member

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Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]

02 Jul 2012, 02:19

SOLUTION

Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

(A) 25
(B) 36
(C) 38
(D) 42
(E) 45

Look at the matrix below:

Notice that numbers in black are given and in red are calculated. We need the value of yellow box: 1.5x+(24+x)=84 --> x=24 --> 1.5x=36.

Answer: B.
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Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]

02 Jul 2012, 03:11

Total = 84
who volunteered for picnic = 35
who volunteered for picnic & refr = 11
then -who opt picnic but not refreshmnt = 24
the no. of parents who didnt volunteer for picnic and refesh = x
the no. who volunteer for refreshmnt = 1.5 x

1.5x + 24 = 35
x= 24
1.5x = 36

Answer B

GMAT Club team member

Joined: 02 Sep 2009

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Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink]

06 Jul 2012, 03:05

Attachment:

OG.PNG [ 5.62 KiB | Viewed 1175 times ]

Notice that numbers in black are given and in red are calculated. We need the value of yellow box: 1.5x+(24+x)=84 --> x=24 --> 1.5x=36.

Answer: B.
_________________

Re: Of the 84 parents who attended a meeting at a school, 35 [#permalink] 06 Jul 2012, 03:05

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Of the 84 parents who attended a meeting at a school, 35

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Of the 84 parents who attended a meeting at a school, 35

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