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At a certain softball tournament, 65 percent of the players traveled m

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At a certain softball tournament, 65 percent of the players traveled m  [#permalink]

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New post 20 Feb 2017, 07:52
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At a certain softball tournament, 65 percent of the players traveled more than 200 miles to participate. If 720 players took part in the softball tournament, what is the difference between the number of participants who traveled more than 200 miles and the number of participants who traveled 200 miles or less?

(A) 108
(B) 216
(C) 252
(D) 468
(E) 655

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Re: At a certain softball tournament, 65 percent of the players traveled m  [#permalink]

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New post 20 Feb 2017, 08:36
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SajjadAhmad wrote:
At a certain softball tournament, 65 percent of the players traveled more than 200 miles to participate. If 720 players took part in the softball tournament, what is the difference between the number of participants who traveled more than 200 miles and the number of participants who traveled 200 miles or less?

(A) 108
(B) 216
(C) 252
(D) 468
(E) 655


65 percent of the 720 players traveled more than 200 miles
So, the number of players who traveled MORE THAN 200 miles = (0.65)(720)

If 65% of the players traveled more than 200 miles, then 35% of the players traveled less than 200 miles
So, the number of players who traveled LESS THAN 200 miles = (0.35)(720)

What is the difference between the number of participants who traveled more than 200 miles and the number of participants who traveled 200 miles or less?
Difference = (0.65)(720) - (0.35)(720)
= (0.3)(720)
= 216

Answer: B

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Re: At a certain softball tournament, 65 percent of the players traveled m  [#permalink]

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New post 21 Feb 2017, 08:11
SajjadAhmad wrote:
At a certain softball tournament, 65 percent of the players traveled more than 200 miles to participate. If 720 players took part in the softball tournament, what is the difference between the number of participants who traveled more than 200 miles and the number of participants who traveled 200 miles or less?

(A) 108
(B) 216
(C) 252
(D) 468
(E) 655


Travelled > 200 miles = 65%
Travelled < 200 miles = 35%

Difference between no of participants who travelled 200 miles or less will be 65-35 = 30%

Total participants = 720

So, Required difference will be 216 participants...

Thus, answer must be (B) 216


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Re: At a certain softball tournament, 65 percent of the players traveled m  [#permalink]

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New post 22 Feb 2017, 19:36
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Hi SajjadAhmad,

This question is essentially just about multiplication and finding the difference between two numbers - and you can do the math in a couple of different ways. Since the answer choices are sufficiently 'spread out', you can actually simplify the math a bit, use the answer choices to your advantage and still get the correct answer.

Based on the information in the prompt, we know that there are two groups:
1) 65% of players traveled MORE than 200 miles for a tournament.
2) 35% of players traveled 200 miles or LESS for a tournament.

That means for every 100 players in the tournament, 65 are in the first group and 35 are in the second group. The DIFFERENCE in those numbers is 65 - 35 = 30. The prompt tells us that there are 720 total players, so the answer to the question is a little more than 7 times 30.... There's only one answer that makes sense.

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Re: At a certain softball tournament, 65 percent of the players traveled m  [#permalink]

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New post 26 Jan 2019, 14:41
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SajjadAhmad wrote:
At a certain softball tournament, 65 percent of the players traveled more than 200 miles to participate. If 720 players took part in the softball tournament, what is the difference between the number of participants who traveled more than 200 miles and the number of participants who traveled 200 miles or less?

(A) 108
(B) 216
(C) 252
(D) 468
(E) 655


This is a good example of two tricks:
1. Estimation! The answer choices are quite far apart, so you can almost certainly estimate.
2. Don't do any math until you have the whole thing written out - you might find opportunities to avoid doing calculations.

.65(720) traveled more than 200 miles, and the remaining (1-.65)(720) traveled 200 miles or less. You want the difference between those values:

.65(720) - (1-.65)(720)
.65(720) - .35(720)
.3(720)
3(72)

3 times 70 is 210, so 3 times 72 will be a bit bigger than 210. The answer is (B).
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Re: At a certain softball tournament, 65 percent of the players traveled m   [#permalink] 26 Jan 2019, 14:41
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