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sergeinik [125]
3 years ago
15

At the movie theatre, child admission is $5.20 and adult admission is $9.80

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Answer:

  84 child tickets were sold

Step-by-step explanation:

Had they all been adult tickets, revenue would have been ...

  $9.80 × 147 = $1440.60

It was less by ...

  $1440.60 -1054.20 = $386.40

The child's ticket costs less by ...

  $9.80 -5.20 = $4.60

so there must have been $386.40/$4.60 = 84 child tickets sold.

__

Replacing an adult ticket with a child ticket reduces the revenue by $4.60 without changing the number of tickets sold.

_____

You can let c represent the number of child tickets sold. Then (147 -c) is the number of adult tickets sold, and total revenue is ...

  5.20c + 9.80(147 -c) = 1054.20

  -4.60c +1440.60 = 1054.20 . . . . simplify

  -4.60c = -386.40 . . . . . . . . . . . . . subtract 1440.60

  c = 386.40/4.60 = 84

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