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A movie theater charges $6 per ticket, and pays $1,750 of
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27 May 2018, 03:37
27 May 2018, 03:37
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Question Stats:
85% (01:19) correct
14% (01:43) wrong based on 35 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
(A) 300
(B) 325
(C) 350
(D) 375
(E) 400
Re: A movie theater charges $6 per ticket, and pays $1,750 of
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27 May 2018, 12:39
27 May 2018, 12:39
Expert Reply
Explanation
This problem requires the knowledge that profit equals revenue minus cost. Memorize the formula: Profit = Revenue – Cost (or Profit = Revenue – Expenses), but you could just think about it logically—a business has to pay its expenses out of the money it makes: the rest is profit.
The cost each time a movie is shown is $1,750.
If the theater charges $6 per ticket and t is the number of tickets, the revenue is 6t.
In order for the profit to be $1 per ticket, the profit must be t dollars.
Plug these values into the equation Profit = Revenue – Cost:
\(t = 6t - 1,750\)
\(-5t = -1,750\)
\(t = 350\)
This problem requires the knowledge that profit equals revenue minus cost. Memorize the formula: Profit = Revenue – Cost (or Profit = Revenue – Expenses), but you could just think about it logically—a business has to pay its expenses out of the money it makes: the rest is profit.
The cost each time a movie is shown is $1,750.
If the theater charges $6 per ticket and t is the number of tickets, the revenue is 6t.
In order for the profit to be $1 per ticket, the profit must be t dollars.
Plug these values into the equation Profit = Revenue – Cost:
\(t = 6t - 1,750\)
\(-5t = -1,750\)
\(t = 350\)
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Re: A movie theater charges $6 per ticket, and pays $1,750 of
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07 Jun 2018, 15:49
07 Jun 2018, 15:49
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sandy wrote:
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
(A) 300
(B) 325
(C) 350
(D) 375
(E) 400
We can let m = the number of tickets sold and create the equation:
6m - 1750 = 1m
5m = 1750
m = 350
Answer: C
