jlgdr wrote:
mikemcgarry wrote:
At a certain symphonic concert, tickets for the orchestra level were $50 and tickets for the balcony level were $30. These two ticket types were the only source of revenue for this concert. If R% of the revenue for the concert was from the sale of balcony tickets, and B% of the tickets sold were balcony tickets, then which of the following expresses B in terms of R?
(A) \(\frac{200R}{(500 + 3R)}\)
(B) \(\frac{300R}{(500 - 2R)}\)
(C) \(\frac{300R}{(200 + 5R)}\)
(D) \(\frac{500R}{(300 + 2R)}\)
(E) \(\frac{500R}{(200 + 3R)}\)For more practice problems involving percents, some tips about handling percent problems on the GMAT, and the complete explanation of this particular problem, see:
http://magoosh.com/gmat/2013/gmat-quant ... h-percents Mike
Yeah very tough to pick numbers indeed!
What approach do you suggest Mike?
Cheers!
J
Dear
jlgdr,
I don't know if you followed that link to the blog article, but in that article, I show a full solution using picking numbers.
For starters, we know that if B = 0, then R = 0. Here, all the answers satisfy that. We also know that if B = 100, then R = 100. Right there, we can plug in and eliminate some answers. Those are two particular easy choices to make for numbers to pick.
A little more challenging, but not so hard --- suppose they sell just as many balcony tickets as orchestra tickets, a 50/50 split. Then, of course, B = 50. For simplicity, suppose they sold 10 of each. That's $500 for the ten orchestra tickets, and $300 for the ten balcony tickets, for a grand total of $800 in revenue. Then, the balcony accounts for 300/800 = 3/8 of the revenue or 37.5 percent. R = 37.5 --- that's a little harder to plug in, but after we eliminate the first batch of answers, we don't have so many to check.
Does all this make sense?
Mike
_________________
Mike McGarry
Magoosh Test PrepEducation is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)