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r-ruslan [8.4K]
3 years ago
8

For a popular Broadway musical, the theater box office sold 365 tickets at $80 apiece, 275 tickets at $60 apiece, and 369 ticket

s at $45 apiece. How much money did the box office take in?
A. $16,500
B. $16,605
C. $44,980
D. $61,585
Mathematics
1 answer:
kkurt [141]3 years ago
5 0

9514 1404 393

Answer:

  $62,305 . . . as asked

  D.  $61,585 . . . consistent with a typo in the question

Step-by-step explanation:

The revenue from each class of ticket is the product of the price and the number of tickets. The total revenue is the sum of the revenue amounts from each class of ticket.

  (365)($80) +(275)($60) +(369)($45) = $62,305 . . . . answer to this question

__

We have reason to believe there is a typo in the question. If the number of $80 tickets is 356, not 365, then the total revenue is ...

  (356)($80) +(275)($60) +(369)($45) = $61,585 . . . . matches choice D

_____

<em>Additional comment</em>

The answer choices 16,500 and 16,605 are partial sums in the solution of this question. The answer choice 44,980 is the sum of 16,500 and 28,480, which is the amount obtained by selling 356 tickets at $80. The transposition of 356 to 365 is not an unusual error to make. Since presumption of that error makes the answer choices consistent with the problem math, we believe that error crept into the problem statement.

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