Beginner here, need help with this question

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johnnydee963: Newbie | Next Rank: 10 Posts; Posts: 5; Joined: Tue Jun 30, 2009 1:13 pm

Beginner here, need help with this question

by johnnydee963 » Tue Jun 30, 2009 2:26 pm

There are 120 contestants vying for the Miss Idaho crown. There are 50% fewer tap dancers than 4 times the number of baton twirlers. 1/4 of the contestants are neither tap dancers nor baton twirlers. If all of the 120 contestants have only one special talent, how many are tap dancers?

Unfortunately, this wasn't a multiple choice question so I cannot post the answer, although I think I know what it is. Anyone have any ideas? Thanks in advance...

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Source: Beat The GMAT — Problem Solving | Tue Jun 30, 2009 2:26 pm

cameronwu: Senior | Next Rank: 100 Posts; Posts: 34; Joined: Wed Jun 17, 2009 6:15 am; Thanked: 4 times

by cameronwu » Wed Jul 01, 2009 8:13 am

120 Contestants:

2*Tap Dancers = 1*Baton Twirlers (This is what the 50% fewer tap dancers than 4 times the number of baton twirlers means... if there were 2 times the number of baton twirlers, then it would be 0% fewer tap dancers than 2 times the number of baton twirlers. Take that one step further and you will get 100% more TD than 1 times the number of Baton Twirlers::: 2 Tap Dancers = 1 Baton Twirlers)

1/4 does neither = 30 Contestants

90 left. The ratio is 2 tap dancers to every 1 baton twirler. There are 60 tap dancers. 30 baton twirlers.