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## The drama club was selling tickets to the school play. Adult tickets cost $8.00 each, and student tickets cost $5.00 each.

Question

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?

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Mathematics
5 months
2021-08-06T15:54:32+00:00
2021-08-06T15:54:32+00:00 1 Answers
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## Answers ( )

Answer: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 = 176we find the number of student tickets using this answer in the substitution equation we used:

s – 284 – 176 = 108

Therefore

108 student tickets, and176 adult ticketswere sold.