At the movie theatre, child admission is $5.20 and adult admission is $9.70. on sunday three time as many adult tickets as child tickets were sold, for a total sales of $788.90. how many child tickets were sold that day?

23 child tickets were sold

Step-by-step explanation:

Using the information given, we can set up an equation to solve for the number of child tickets sold.  Since there were three times as many adult tickets as child tickets sold, we can assign the variable 'x' to represent the number of child tickets and '3x' to represent the number of adult tickets.  Since we know the cost of each ticket, as well as the total sales, we can set up the following equation:

5.20x + 9.70(3x) = 788.90

Simplify 5.20x + 29.1x = 788.90

Combine like terms:  34.3x = 788.90

Divide both sides by 34.3:  x = 23 child tickets

a) y = -3x +2

b) y = 1/2x -6

these 2 can be combined into one equation.

-3x +2 = .5x -6

8 = 3.5x

x = 8 / 3.5 = 2.2857142857

y = -3 * (8 / 3.5) +2

y = (-24 / 3.5) + 2

y = -4.8571428571

step-by-step explanation: