96.6k views
1 vote
At Fridays football game, 1,294 tickets were sold for a total amount of $8,816.00. if each student ticket cost $5.00, and each adult ticket costs $8.00 , how many student tickets were purchased?

1 Answer

6 votes

Answer:

512 student tickets were purchased.

Explanation:

Represenation of the unknowns: Let s be the number of student tickets and a the number of adult tickets. Then s + a = 1294.

The dollar amounts are thus ($5/ticket)s + (8/ticket)a = $8816.

Goal: Find s; to do this, eliminate a.

Since s + a = 1294, a = 1294 - s

Then: 5s + 8(1294 - s) = 8816, or

5s - 8s + 8(1294) = 8816, or

-3s + 10352 = 8816

Isolating the 3s term, we get

-3s - 1536 = 0, or

3s = 1536, which yields s = 512

512 student tickets were purchased.

User Jugal Shah
by
8.7k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories