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Bunuel
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A movie theater charges $6 per ticket, and pays $1,750 of expenses eac 05 Jun 2018, 21:39
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

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5% (low)

Question Stats:

96% (01:34) correct 4% (00:57) wrong based on 52 sessions

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A movie theater charges $6 per ticket, and pays $1,750 of expenses each time a movie is shown. How many tickets must be sold each time a movie is shown for the theater to make $1 of profit per ticket?

(A) 300
(B) 325
(C) 350
(D) 375
(E) 400
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C
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A movie theater charges $6 per ticket, and pays $1,750 of expenses eac 05 Jun 2018, 21:50
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Let number of tickets be X. Therefore, from question: 6X -1750 =X
=> 5x=1750
=> X= 350
Answer is C
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A movie theater charges $6 per ticket, and pays $1,750 of expenses eac 05 Jun 2018, 23:04
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Solution



Given:
    • A movie theatre charges $6 per ticket
    • The theatre pays $1750 of expenses each time a movie is shown

To find:
    • The number of tickets that must be sold for each show to make a profit of $1 per ticket

Approach and Working:
Let us assume the number of tickets that need to be sold is n
    • Therefore, total profit amount = n * 1 = n
    • Total selling price of all the tickets = n * 6 = 6n
    • Therefore, total expenses = 6n – n = 5n

As the total expenses given is $1750, we can write
    • 5n = 1750
    Or, n = 350

Hence, the correct answer is option C.

Answer: C
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A movie theater charges $6 per ticket, and pays $1,750 of expenses eac 06 Jun 2018, 03:19
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Bunuel
A movie theater charges $6 per ticket, and pays $1,750 of expenses each time a movie is shown. How many tickets must be sold each time a movie is shown for the theater to make $1 of profit per ticket?

(A) 300
(B) 325
(C) 350
(D) 375
(E) 400
Show more


Let the number of tickets be sold to gain $1 per ticket is x.

we can form an equation: \(\frac{6x-1750}{x}\)=1 (we know that profit= revenue - expense. But we have to divide by total no. of tickets as we are asked to find out profit per tickets.)
6x-1750=x
5x=1750
x=350.

Thus the best answer is C.
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A movie theater charges $6 per ticket, and pays $1,750 of expenses eac 06 Jun 2018, 12:34
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Bunuel
A movie theater charges $6 per ticket, and pays $1,750 of expenses each time a movie is shown. How many tickets must be sold each time a movie is shown for the theater to make $1 of profit per ticket?

(A) 300
(B) 325
(C) 350
(D) 375
(E) 400
Show more

Since the movie theatre charges $6 per ticket and it needs to make a profit of $1,
we can incur a cost of $5 per seat. The theatre needs to cover a cost of $1750

Therefore, the number of seats in the theatre is \(\frac{1750}{5} = 350\)(Option C)
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A movie theater charges $6 per ticket, and pays $1,750 of expenses eac 07 Jun 2018, 17:03
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Bunuel
A movie theater charges $6 per ticket, and pays $1,750 of expenses each time a movie is shown. How many tickets must be sold each time a movie is shown for the theater to make $1 of profit per ticket?

(A) 300
(B) 325
(C) 350
(D) 375
(E) 400
Show more

We can let m = the number of tickets sold and create the equation:

6m - 1750 = 1m

5m = 1750

m = 350

Answer: C
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A movie theater charges $6 per ticket, and pays $1,750 of expenses eac 10 Jun 2021, 05:42
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Hello from the GMAT Club BumpBot!

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