Answer:
Explanation:
Write a system of equations to represent the information.
First, I will designate the variables.
x = child tickets
y = adult tickets
If a total of 145 tickets were sold, that makes one equation x + y = 145. If the total sales were 1177 and a child's ticket is $5.30 and an adult ticket is $9.60, the second equation is 5.30x + 9.60y = 1177.
x + y = 145
5.30x + 9.60y = 1177
You can use substitution or elimination to solve this system. I will use substitution since x and y in the first equation are easy to solve for. Since we only need the amount of children's tickets, I will solve for y to put everything in terms of x.
y = 145 - x
Substitute into the other equation.
5.30x + 9.60(145 - x) = 1177
Solve for x.
5.30x + 1392 - 9.60x = 1177
-4.3x + 1392 = 1177
-4.3x = -215
x = 50
50 child tickets were sold that day.