At a movie theater child admission is 5.20 and adult admission is $8.70. On Sunday, three times as many adult tickets as child tickets were sold, for a total sales of $1158.10. How many child tickets were sold that day?

1 answer

Let x be the number of child tickets sold.

Then the number of adult tickets sold would be 3x.

The total sales from child tickets would be 5.20x and the total sales from adult tickets would be 8.70(3x) = 26.10x.

The total sales from child and adult tickets combined is $1158.10, so we can write the equation:

5.20x + 26.10x = 1158.10

Solving for x:

31.3x = 1158.10
x = 1158.10 / 31.3
x = 37

Therefore, 37 child tickets were sold that day.