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aalyn [17]
3 years ago
6

At the movie theater, child admission is $5.50 and adult admission is $9.10 . On Saturday, four times as many adult tickets as c

hild tickets were sold, for a total sales of $1047.50 . How many child tickets were sold that day?
Mathematics
1 answer:
TEA [102]3 years ago
5 0

<u><em>Answer:</em></u>

Number of child tickets sold that day = 25 tickets

<u><em>Explanation:</em></u>

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

<u>We are given that:</u>

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

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.

<u>This means that:</u>

x(9.1) + y(5.5) = 1047.5

9.1x + 5.5y = 1047.5 ..................> equation II

<u>Substitute with equation II in equation I and solve for y as follows:</u>

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

<u>Based on the above calculations:</u>

number of child tickets = y = 25 tickets

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

Hope this helps :)

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