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There are three types of tickets available for a concert: orchestra,

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There are three types of tickets available for a concert: orchestra, [#permalink]

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New post 02 Nov 2017, 02:31
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There are three types of tickets available for a concert: orchestra, which cost $12 each; balcony, which cost $9 each; and box, which cost $25 each. There were P orchestra tickets, B balcony tickets, and R box tickets sold for the concert. Which of the following expressions gives the percentage of ticket proceeds due to the sale of orchestra tickets?

(A) 100*P/(P + B + R)

(B) 100*12P/(12P + 9B + 25R)

(C) 12P/(12P + 9B + 25R)

(D) 100*(9B + 25R)/(12P + 9B + 25R)

(E) 100*(12P + 9B + 25R)/(12P)
[Reveal] Spoiler: OA

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Re: There are three types of tickets available for a concert: orchestra, [#permalink]

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New post 02 Nov 2017, 05:20
Bunuel wrote:
There are three types of tickets available for a concert: orchestra, which cost $12 each; balcony, which cost $9 each; and box, which cost $25 each. There were P orchestra tickets, B balcony tickets, and R box tickets sold for the concert. Which of the following expressions gives the percentage of ticket proceeds due to the sale of orchestra tickets?

(A) 100*P/(P + B + R)

(B) 100*12P/(12P + 9B + 25R)

(C) 12P/(12P + 9B + 25R)

(D) 100*(9B + 25R)/(12P + 9B + 25R)

(E) 100*(12P + 9B + 25R)/(12P)


total ticket proceeds : (12P +12P + 9B + 25R)
proceeds due to the sale of orchestra tickets : 12P
percentage of ticket proceeds due to the sale of orchestra tickets : 100*12P/(12P + 9B + 25R)
IMO B
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Re: There are three types of tickets available for a concert: orchestra, [#permalink]

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New post 02 Nov 2017, 19:17
Orchestra Tickets= 12P
Balcony Tickets= 9B
Box Tickets= 25R

Total Tickets Proceed= (12P+9B+25R)

Percentage of Orchestra Tickets= 100*\(\frac{12P}{(12P+9B+25R)}\)

Answer: B.
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Re: There are three types of tickets available for a concert: orchestra, [#permalink]

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New post 05 Nov 2017, 08:19
Bunuel wrote:
There are three types of tickets available for a concert: orchestra, which cost $12 each; balcony, which cost $9 each; and box, which cost $25 each. There were P orchestra tickets, B balcony tickets, and R box tickets sold for the concert. Which of the following expressions gives the percentage of ticket proceeds due to the sale of orchestra tickets?

(A) 100*P/(P + B + R)

(B) 100*12P/(12P + 9B + 25R)

(C) 12P/(12P + 9B + 25R)

(D) 100*(9B + 25R)/(12P + 9B + 25R)

(E) 100*(12P + 9B + 25R)/(12P)


The proceeds from orchestra ticket sales is 12P. The total proceeds are (12P + 9B + 25R). The fractional representation of the orchestra proceeds is:

12P/(12P + 9B + 25R)

But we are asked for the percentage of proceeds from the sale of orchestra tickets; thus, we must multiply the above expression by 100%.

12P/(12P + 9B + 25R) x 100

Answer: B
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Re: There are three types of tickets available for a concert: orchestra,   [#permalink] 05 Nov 2017, 08:19
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