At the movie theater, child admission is $5.50 and adult admission is $9.10 . on saturday, four times as many adult tickets as child tickets were sold, for a total sales of $1047.50 . how many child tickets were sold that day?

Number of child tickets sold that day = 25 tickets

Explanation:

Assume that the number of the adult ticket is x and that the number of the child ticket is y.

We are given that:

1- four times as many adult tickets as child tickets were sold. This means that:

adult tickets = 4 * child tickets

x = 4y > equation I

2- Child ticket costs $5.5, adult ticket costs $9.1 and total sales was $1047.5.

This means that:

x(9.1) + y(5.5) = 1047.5

9.1x + 5.5y = 1047.5 > equation II

Substitute with equation II in equation I and solve for y as follows:

9.1x + 5.5y = 1047.5

9.1(4y) + 5.5y = 1047.5

36.4y + 5.5y = 1047.5

41.9y = 1047.5

y = 25

Based on the above calculations:

number of child tickets = y = 25 tickets

number of adult tickets = x = 4y = 4(25) = 100 tickets

Hope this helps :)

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