Question

at a movie theatre, child admission is $6.40 and adult admission is $9.70. on Wednesday, 128 tickets were sold for a total sales of $1063.40. how many adult tickets were sold that day ?​

Answer 1

Answer: 74 adult tickets were sold on Wednesday.

Explanation:

Let x represent the number of child admission tickets sold on Wednesday.

Let y represent the number of adult admission tickets sold on Wednesday.

On Wednesday, 128 tickets were sold. It means that

x + y = 128

At the movie theatre, child admission is $6.40 and adult admission is $9.70. The total ticket sales on Wednesday was $1063.40. It means that

6.4x + 9.7y = 1063.4- - - - - - - - - - 1

Substituting x = 128 - y into equation 1, it becomes

6.4(128 - y) + 9.7y = 1063.4

819.2 - 6.4y + 9.7y = 1063.4

- 6.4y + 9.7y = 1063.4 - 819.2

3.3y = 244.2

y = 244.2/3.3

y = 74

x = 128 - y = 128 - 74

x = 54