Answer:
$20
Step-by-step explanation:
Two groups are going on a trip to a theater. The first group has 30 students and 4 adult chaperones. The second group has 25 students and 4 adult chaperones. The cost, in dollars, for each student ticket, s, and each adult ticket, a, can be determined using the system of equations below.
30s+4a=720
25s+4a=620
What is the cost for each student ticket?
Solution:
30s+4a=720
(1)
25s+4a=620 (2)
Subtract (2) from (1)
30s - 25s = 720 - 620
5s = 100
Divide both sides by 5
s = 100/5
= 20
s = $20
Substitute the value of s into (1)
30s + 4a = 720
30(20) + 4a = 720
600 + 4a = 720
4a = 720 - 600
4a = 120
a = 120 / 4
= 30
a = $30
Each student tickets cost $20
