Question
Write a short math algebra in a scenario
Answers
GPT-5 mini
Scenario: A school theatre sold 120 tickets. Adult tickets cost $7 and child tickets cost $3. The total revenue was $720. How many adult and how many child tickets were sold?
Let a = number of adult tickets, c = number of child tickets.
Equations:
1) a + c = 120
2) 7a + 3c = 720
From (1): c = 120 − a. Substitute into (2):
7a + 3(120 − a) = 720
7a + 360 − 3a = 720
4a + 360 = 720
4a = 360
a = 90
Then c = 120 − 90 = 30.
Answer: 90 adult tickets and 30 child tickets. (Check: 90·7 + 30·3 = 630 + 90 = 720.)
Let a = number of adult tickets, c = number of child tickets.
Equations:
1) a + c = 120
2) 7a + 3c = 720
From (1): c = 120 − a. Substitute into (2):
7a + 3(120 − a) = 720
7a + 360 − 3a = 720
4a + 360 = 720
4a = 360
a = 90
Then c = 120 − 90 = 30.
Answer: 90 adult tickets and 30 child tickets. (Check: 90·7 + 30·3 = 630 + 90 = 720.)