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Box seats for a ball game cost $b each and general admission seats cos

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New post 16 Oct 2017, 01:25
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Box seats for a ball game cost $b each and general admission seats cost $g each. If 10,000 seats are sold, and x of the seats are box seats, which expression gives the fraction of money made on seat sales that came from box seats?


A. \(\frac{bx}{bx+(10,000-x)g}\)

B. \(1+(10,000-x)g\)

C. \(\frac{bx}{10,000}\)

D. \(\frac{b}{b+g}\)

E. \(\frac{x}{10,000}\)
[Reveal] Spoiler: OA

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Kudos [?]: 133072 [0], given: 12403

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Re: Box seats for a ball game cost $b each and general admission seats cos [#permalink]

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New post 17 Oct 2017, 00:19
Bunuel wrote:
Box seats for a ball game cost $b each and general admission seats cost $g each. If 10,000 seats are sold, and x of the seats are box seats, which expression gives the fraction of money made on seat sales that came from box seats?


A. \(\frac{bx}{bx+(10,000-x)g}\)

B. \(1+(10,000-x)g\)

C. \(\frac{bx}{10,000}\)

D. \(\frac{b}{b+g}\)

E. \(\frac{x}{10,000}\)


Number of box seats sold = x
Cost of total box seats sold = bx
Number of general seats sold = 10,000 - x
Cost of total general seats sold = (10,000 - x)g
Fraction of money from box seat sales = \(\frac{bx}{bx+(10,000-x)g}\)

Answer is A.

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Re: Box seats for a ball game cost $b each and general admission seats cos [#permalink]

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New post 17 Oct 2017, 11:56
Bunuel wrote:
Box seats for a ball game cost $b each and general admission seats cost $g each. If 10,000 seats are sold, and x of the seats are box seats, which expression gives the fraction of money made on seat sales that came from box seats?


A. \(\frac{bx}{bx+(10,000-x)g}\)

B. \(1+(10,000-x)g\)

C. \(\frac{bx}{10,000}\)

D. \(\frac{b}{b+g}\)

E. \(\frac{x}{10,000}\)


If x seats are box seats, then (10,000 - x) seats are general admissions seats.

Thus, the money made on box seats was bx, and the total money made on all 10,000 seats was bx + g(10,000 - x).

Thus, the fraction of the money made on seat sales that came from box seats was:

bx/[bx + g(10,000 - x)]

Answer: A
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Box seats for a ball game cost $b each and general admission seats cos [#permalink]

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New post 18 Oct 2017, 01:03
ScottTargetTestPrep wrote:
Bunuel wrote:
Box seats for a ball game cost $b each and general admission seats cost $g each. If 10,000 seats are sold, and x of the seats are box seats, which expression gives the fraction of money made on seat sales that came from box seats?


A. \(\frac{bx}{bx+(10,000-x)g}\)

B. \(1+(10,000-x)g\)

C. \(\frac{bx}{10,000}\)

D. \(\frac{b}{b+g}\)

E. \(\frac{x}{10,000}\)


If x seats are box seats, then (10,000 - x) seats are general admissions seats.

Thus, the money made on box seats was bx, and the total money made on all 10,000 seats was bx + g(10,000 - x).

Thus, the fraction of the money made on seat sales that came from box seats was:

bx/[bx + g(10,000 - x)]

Answer: A


In the question stem, X is the total number of box seats OR X is the number of seats that were sold from total box seats????

It is so unclear from the wording

Should not the question be telling from THOSE 10,000 seats x are box seats ....It seems like they are telling the total number of box seats, which may give different equation and meaning

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Re: Box seats for a ball game cost $b each and general admission seats cos [#permalink]

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New post 22 Oct 2017, 13:51
I am pretty sure I got this problem wrong. Part of my issues on the GMAT is that I rush to answer these questions and often don't read the question correctly.
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I'd love to hear any feedback or ways to improve my problem solving. I make a lot of silly mistakes. If you've had luck improving on stupid mistakes, I'd love to hear how you did it.

Also, I appreciate any kudos.

Kudos [?]: 8 [0], given: 18

Re: Box seats for a ball game cost $b each and general admission seats cos   [#permalink] 22 Oct 2017, 13:51
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