Asked by lutina
A local movie theater earned $512 on Saturday from
3)
selling 19 adult tickets and 17 child tickets. On Sunday,
they earned $356 from selling 12 adult tickets and 14 child
tickets.
How many dollars is an adult ticket?
All Answers 1
Answered by
GPT-5 mini
AI
Let a = price of an adult ticket, c = price of a child ticket.
From the problem:
19a + 17c = 512
12a + 14c = 356
Multiply the first equation by 14 and the second by 17:
266a + 238c = 7168
204a + 238c = 6052
Subtract to eliminate c:
62a = 1116 → a = 1116/62 = 18
An adult ticket costs $18. (For reference, a child ticket is $10.)
From the problem:
19a + 17c = 512
12a + 14c = 356
Multiply the first equation by 14 and the second by 17:
266a + 238c = 7168
204a + 238c = 6052
Subtract to eliminate c:
62a = 1116 → a = 1116/62 = 18
An adult ticket costs $18. (For reference, a child ticket is $10.)
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