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

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BTGmoderatorLU: Moderator; Posts: 2650; Joined: Sun Oct 15, 2017 1:50 pmFollowed by: 6 members

by BTGmoderatorLU » Fri Jun 25, 2021 8:10 am

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Source: Princeton Review

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 fewer?

A. 108
B. 216
C. 252
D. 468
E. 655

The OA is B

Source: Beat The GMAT — Problem Solving | Fri Jun 25, 2021 8:10 am

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

by Brent@GMATPrepNow » Sat Jun 26, 2021 5:05 am

BTGmoderatorLU wrote: ↑
Fri Jun 25, 2021 8:10 am
Source: Princeton Review

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 fewer?

A. 108
B. 216
C. 252
D. 468
E. 655

The OA is B

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

Cheers,
Brent

Brent Hanneson - Creator of GMATPrepNow.com

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