at the movie theater child admission is 5.30 and adults admission is 8.60. on monday, 130 tickets were sold for a total sales of 936.50how many child tickets were sold that day

Answer 1

Let's let x represent the NUMBER of child tickets sold and y represent the NUMBER of adult tickets sold. Since there are a total of 130 tickets sold , we can write:

x + y = 130

Then since each child ticket cost $5.30 and each adult ticket cost $8.60, we can represent the total money earned by:

5.3x + 8.6y = $936.50

To solve these two equations with two unknowns, use substitution.

From the first equation we can write that x = 130 - y

Substitute this expression for y into the second equation:

5.3x + 8.6y = 936.50

5.3 (130 - y ) + 8.6y = 936.50

Solve for y using inverses operations, combining like terms, and the distributive property:

689 -5.3y + 8.6y = 936.50

689 + 3.3y = 936.50

689 + 3.3y - 689 = 936.50 - 689

3.3y = 247.50

y = 75 adult tickets

x = 130 - 75 = 55 student tickets