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S_A_V [24]
1 year ago
13

A movie theater sold a total of 205 tickets to a movie, for a total of $1621. Adult tickets were $9 and student tickets were $5.

What was the number of student tickets sold?
Mathematics
1 answer:
77julia77 [94]1 year ago
3 0

Let x represent the number of adult tickets sold.

Let y represent the number of student tickets sold.

We were told that the movie theater sold a total of 205 tickets to a movie. This means that

x + y = 205

Adult tickets were $9 and student tickets were $5. This means that the cost of x adult tickets and y student tickets is 9x + 5y. If the total cost of the tickets was $1621, it means that

9x + 5y = 1621

From the first equation, x = 205 - y

We would substitute x = 205 - y into 9x + 5y = 1621. Thus, we have

9(205 - y) + 5y = 1621

1845 - 9y + 5y = 1621

- 9y + 5y = 1621 - 1845

- 4y = - 224

y = - 224/- 4

y = 56

x = 205 - y = 205 - 56

x = 149

Thus, 56 student tickets were sold

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