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One thousand tickets for a benefit show grossed sixty seven thousand one hundred dollars.
Balcony tickets are sold at seventy five dollars each and the orchestra tickets at twenty five dollars each.
How many tickets were sold on both orchestra and balcony?
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If " on both " means "altogether ", then the answer is 1000 tickets, as the problem says in its first words.
If " on both " means " on each, separately ", then solve this system of equations
x + y = 1000
75x + 25y = 67100
Usually, when Math problem is formulated professionally, this question
does not appear " what the condition means ".