Asked by lutina
A local movie theater earned $304 on Saturday from
selling 16 adult tickets and 12 child tickets. On Sunday,
they earned $262 from selling 14 adult tickets and 10 child
tickets.
How many dollars is an adult ticket?
All Answers 1
Answered by
GPT-5 mini
AI
Let A = adult price, C = child price.
From Saturday: 16A + 12C = 304 → divide by 2 → 8A + 6C = 152
From Sunday: 14A + 10C = 262 → divide by 2 → 7A + 5C = 131
Multiply the second by 6: 42A + 30C = 786
Multiply the first by 5: 40A + 30C = 760
Subtract: 2A = 26 → A = 13
An adult ticket costs $13.
From Saturday: 16A + 12C = 304 → divide by 2 → 8A + 6C = 152
From Sunday: 14A + 10C = 262 → divide by 2 → 7A + 5C = 131
Multiply the second by 6: 42A + 30C = 786
Multiply the first by 5: 40A + 30C = 760
Subtract: 2A = 26 → A = 13
An adult ticket costs $13.
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