Movie theater child admissions is $5.30 and adult admission is $9.90. On Monday, 120 tickets were sold for a total sales of $889.00. How many child tickets were sold that day?

Question

20-06-2024
Mathematics

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Movie theater child admissions is $5.30 and adult admission is $9.90. On Monday, 120 tickets were sold for a total sales of $889.00. How many child tickets were sold that day?

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regalmocha17 regalmocha17 · Answer 1 · 2024-06-20T16:24:38-04:00

65 children tickets were sold that day.

Work.

Given that:

child admission = $5.30

adult admission = $9.90

tickets sold = 120

total sales = $889.00

Solve for number of child tickets sold.

Set up two equations.

Price equation:

5.30c + 9.90a = 889.00

Ticket equation:

c + a = 120

Solve for a by isolating c.

c = 120 - a

Substitute it back into the first equation.

5.30(120 - a) + 9.90a = 889

636 - 5.30a + 9.90a = 889

636 + 4.6a = 889

889 - 636 = 4.6a

253/4.6 = a

a = 55

Thus, 55 adults tickets were sold.
Substitute it to solve for c.

c = 120 - a

c = 120 - 55

c = 65

Therefore, 65 children tickets were sold.