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Of 220 stamps in a certain stamp collection, exactly 60 were

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Eternal Intern
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Joined: 07 Jun 2003
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Of 220 stamps in a certain stamp collection, exactly 60 were [#permalink] New post 15 Jul 2003, 19:35
:evil:

Of 220 stamps in a certain stamp collection, exactly 60 were U.S. Stamps and 110 were canceled. If 60 percent of the U.S. stamps were canceled, how many of the stamps were both not U.S. stamps and not canceled?

Idiots choose 50 and go to hell during GMAT! :twisted:
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Director
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 [#permalink] New post 15 Jul 2003, 19:46
My Ans: 86
Is it correct?
Eternal Intern
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 [#permalink] New post 15 Jul 2003, 19:47
Well, I need the explanations!! Please posting answers doesn't help anyone we need reasoning and rationale!

8-)
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 [#permalink] New post 15 Jul 2003, 20:36
Draw a matrix with US/Non-US on one axis, Cancel/Non-Cancel on the other.

You have a 2x2 (4 sections):
1. US, Cancel
2. US, non-Cancel
3. non-US, Cancel
4. non-US, non-Cancel [what the question asks for]

[1+3] = 110. [1+2] = 60. 60% of [1+2] are cancelled, so 60% of 60 are cancelled. So 36 US are cancelled. So [1] = 36.

Since [1] = 36 and [1+3] = 110, [3] = 110-36 = 74.
Since [1] = 36 and [1+2] = 60, [2] = 24.

Now you have [1], [2], and [3], but the question asks for [4].

220 - [1] - [2] - [3] = [4]
220 - 36 - 24 - 74 = 86
SVP
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 [#permalink] New post 15 Jul 2003, 21:40
draw a chart -- all will be clear
Eternal Intern
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That is definitely the clearest way [#permalink] New post 16 Jul 2003, 04:34
Easiest way is J.P.'s , that's the best way, you deserve a pat on the back for that.

Another way:

1) Start with 220
2) Subtract total U.S. 60

3) 36 cancel, U.S. 24 U.S.
4) 74 cancel, non U.S. 36 U.S. canceled

The devil's trap is 50 if your not looking. This happens because you subtract out 36 twice. You cannot do this in Venn diagrams.
That is definitely the clearest way   [#permalink] 16 Jul 2003, 04:34
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Of 220 stamps in a certain stamp collection, exactly 60 were

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