SOLUTION: 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

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Question 1188491: 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?
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
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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 ".