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On the day of the performance of a certain play, each ticket that regularly sells for less than \(\$10.00\) is sold for

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by Vincen » Tue Aug 17, 2021 7:04 am
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On the day of the performance of a certain play, each ticket that regularly sells for less than \(\$10.00\) is sold for half price plus \(\$0.50,\) and each ticket that regularly sells for \(\$10.00\) or more is sold for half price plus \(\$1.00.\) On the day of the performance, a person purchases a total of \(y\) tickets, of which \(x\) regularly sell for \(\$9.00\) each and the rest regularly sell for \(\$12.00\) each. What is the amount paid, in dollars, for the \(y\) tickets?

(A) \(7y - 2x\)

(B) \(12x - 7y\)

(C) \(\dfrac{9x +12y}3\)

(D) \(7y + 4x\)

(E) \(7y + 5x\)

Answer: A

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Re: On the day of the performance of a certain play, each ticket that regularly sells for less than \(\$10.00\) is sold

by Brent@GMATPrepNow » Tue Aug 17, 2021 8:15 am
Vincen wrote: ↑
Tue Aug 17, 2021 7:04 am
 On the day of the performance of a certain play, each ticket that regularly sells for less than \(\$10.00\) is sold for half price plus \(\$0.50,\) and each ticket that regularly sells for \(\$10.00\) or more is sold for half price plus \(\$1.00.\) On the day of the performance, a person purchases a total of \(y\) tickets, of which \(x\) regularly sell for \(\$9.00\) each and the rest regularly sell for \(\$12.00\) each. What is the amount paid, in dollars, for the \(y\) tickets?

(A) \(7y - 2x\)

(B) \(12x - 7y\)

(C) \(\dfrac{9x +12y}3\)

(D) \(7y + 4x\)

(E) \(7y + 5x\)

Answer: A

Source: Official Guide
GIVEN: A TOTAL of y tickets are sold

GIVEN: x tickets regularly sell for $9.00 each. The SALE price = $9/2 + $0.50 = $5
So, these x tickets will cost a total of 5x dollars

GIVEN: The remaining tickets regularly sell for $12.00 each. The SALE price = $12/2 + $1.00 = $7
If there are y tickets in TOTAL, and x tickets have a sale price of $5 per ticket, the remaining y-x tickets have a sale price of $7 per ticket
So, these y-x tickets will cost a total of 7(y-x) dollars

So the TOTAL amount paid for all white tickets = 5x + 7(y-x)
= 5x + (7y - 7x)
= 7y - 2x

Answer: A

Cheers,
Bren
Brent Hanneson - Creator of GMATPrepNow.com
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