The drama club was selling tickets to the school play. Adult tickets
cost $8.00 each, and student
tickets cost $5.00 each. The little
theater holds 142 people and was
sold out for both Friday and
Saturday. The total sales for the
two days was $1,948.00.
1. How many adult tickets were
sold out over the two days?
2. How many student tickets were
sold out over the two days?

108 student tickets, and 176 adult tickets  were sold

Step-by-step explanation:

Adult ticket $8  Call the number of adult tickets sold "a"

Student ticket $5  Call the number of student tickets sold "s"

Since we are talking about TWO consecutive days of sold out seats, the total number of seats sold were 2* 142 = 284

Then we create two different equations with the information given:

a + s = 284

8 * a + 5 * s = 1948

we can solve for s in the first equation as follows: s = 284 - a

and use it in the second equation

8 a + 5 (284 - a) = 1948

8 a + 1420 - 5 a = 1948

combining

3 a = 528

a = 528/3

a = 176

we find the number of student tickets using this answer in the substitution equation we used:

s - 284 - 176 = 108

Therefore 108 student tickets, and 176 adult tickets  were sold.