Question

At the movie theater, child admission is $5.50 and adult admission is $9.00. on Thursday, 148 tickets were sold for a total sales of $992.50. how many adult tickets were sold that day

Answer 1

51 Adult tickets were sold that day.

Explanation:

Let c = child and a = adult

c + a = 148 5.50c + 9.00a = 992.50

Change the first equation so that it is either in the form c = or a =and then plug that number into the second equation.

I am going to change the first equation to c = by subtracting a from both sides

c = 148 - a

Now I am going to plug 148 -a for c in the second equation.

5.5(148 - a) + 9a = 992.5 Next distribute the 5.5

814 - 5.5a + 9 a = 992.5 Add the a terms together

814 + 3.5a = 992.5 Subtract 814 from both sides

3.5a = 178.5 Divide both sides by 3.5

a = 51