Question

At the movie theatre, child admission is $5.60 and adult admission is $8.90. On Thursday, three times as many adult tickets as child tickets were sold, for a total sales of $1065.90. How many child tickets were sold that day?

Answer 1

33 tickets were sold that day

Cause u just use algebra

Or you can use guess and check

Answer 2

Answer: 33 child tickets were sold that day.

Explanation:

Let x represent the number of child tickets that were sold on Thursday.

Let y represent the number of adult tickets that were sold on Thursday.

On Thursday, three times as many adult tickets as child tickets were sold. This means that

y = 3x

At the movie theatre, child admission is $5.60 and adult admission is $8.90. Total sales made on Thursday was $1065.90. This means that

5.6x + 8.9y = 1065.9 - - - - - - -- - -1

Substituting y = 3x into equation 1, it becomes

5.6x + 8.9 × 3x = 1065.9

5.6x + 26.7x = 1065.9

32.3x = 1065.9

x = 1065.9/32.3

x = 33

y = 3x = 3 × 33

y = 99