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Re: At a certain softball tournament, 65 percent of the players traveled m [#permalink]
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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]
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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Sajjad1994 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

Solution:

Since 65 percent of the players traveled more than 200 miles, then 35 percent of the players traveled 200 miles of less. Therefore, the difference between the two groups, in percentage, is 65 - 35 = 30 percent. Since there were a total of 720 players, the difference, in number of players, is 720 x 0.3 = 216.

Answer: B
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Re: At a certain softball tournament, 65 percent of the players traveled m [#permalink]
Number who drover >200 miles ----> 65% * (720)


-

Number who drover < 200 miles ---> 35% * (720)



65% * (720) - 35% * (720 ) =

(720) * (65% - 35%) =

(720) * (30%) =

10% of 720 is = 72

and

3 * 72 = 216

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