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# How many girls are in the chess club? (1) The chess club has a total

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Math Expert
Joined: 02 Sep 2009
Posts: 61283
How many girls are in the chess club? (1) The chess club has a total  [#permalink]

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04 Mar 2019, 22:51
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Difficulty:

5% (low)

Question Stats:

97% (00:35) correct 3% (01:16) wrong based on 28 sessions

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How many girls are in the chess club?

(1) The chess club has a total of 50 members.

(2) Twice the number of boys in the chess club is equal to three times the number of girls in the chess club.

_________________
Intern
Joined: 21 Aug 2018
Posts: 5
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04 Mar 2019, 23:55
How many girls are in the chess club?

(1) The chess club has a total of 50 members.

(2) Twice the number of boys in the chess club is equal to three times the number of girls in the chess club.
Solution:
(1) - Clearlynot sufficient
(2) -
Let number of boys in the chess club = B
Let number of girls in the chess club = G
2B=3G (Given in (2))
Possible Values of (B,G) can be (15,10), (3,2)... no specific answer so (2) is not sufficient either.
Now (1) +(2):
From (1) B+G=50 -----> (i)
From (2)2B=3G ---> (ii)
Using (ii), (i) can be written as:
1.5G+G=50
2.5G=50 => G=20
Sufficient, So Answer must be 'C'.
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Re: How many girls are in the chess club? (1) The chess club has a total  [#permalink]

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05 Mar 2019, 07:58
Bunuel wrote:
How many girls are in the chess club?

(1) The chess club has a total of 50 members.

(2) Twice the number of boys in the chess club is equal to three times the number of girls in the chess club.

#1
B+g=50
not sufficient
#2
2b=3g
insufficeint
from 1& 2
we can solve for g
g= 20
IMOC
Re: How many girls are in the chess club? (1) The chess club has a total   [#permalink] 05 Mar 2019, 07:58
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