At a certain softball tournament, 65 percent of the players traveled more than 200 miles to participate. If 720 players

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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

Answer: B

Source: Princeton Review

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VJesus12 wrote:
Tue Sep 22, 2020 7:23 am
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

Answer: B

Source: Princeton Review
Traveled \(> 200\) miles \(= 65\%\)
Traveled \(< 200\) miles \(= 35\%\)

Difference between number of participants who traveled \(200\) miles or less will be \(65-35 = 30\%\)

Total participants \(= 720\)

So, required difference will be \(720 \cdot 30\% = 216\) participants.

The correct answer is B

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VJesus12 wrote:
Tue Sep 22, 2020 7:23 am
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

Answer: B

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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