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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