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# A charitable association sold an average of 66 raffle

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Manager
Joined: 14 Dec 2004
Posts: 119
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A charitable association sold an average of 66 raffle [#permalink]  29 Jan 2005, 08:08
A charitable association sold an average of 66 raffle tickets per member. Among the female members, the average was 70 raffle tickets. The male to female ratio of the association is 1:2. What was the average number of raffle tickets sold by the male members of the association?
SVP
Joined: 03 Jan 2005
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66(F+M)=70F+xM
F=2M
=>
66*3M=140M+xM
x=198-140=58

Check, let F=200, M=100
(58*100+70*200)/300=66
Manager
Joined: 29 Jul 2004
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Also got 58.

F=# of female, M=# of male, X= male average

F=2M

[(70F+XM)/(F+M)]=66

70F+XM=66(F+M)

70(2m)+XM=66(2M+M)

140M+XM=66(3M) take out M from all terms

140+X=198

X=58
Manager
Joined: 14 Dec 2004
Posts: 119
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Kudos [?]: 10 [0], given: 0

That's right, the answer is 58.
Director
Joined: 21 Sep 2004
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58. reason as above
Manager
Joined: 28 Jan 2005
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Kudos [?]: 1 [1] , given: 0

1
KUDOS
Same logic but using simpler weighted average formula:

x= males

Ratio is 2:1 3 parts

70 (2/3) + X (1/3) = 66

MULTIPLY both sides by 3

140 + x = 198

x= 58
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