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#mathematics
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#problem-solving
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A rock concert brought in Tzs 4,325,000 on the sale of 950 tickets. If the tickets sold for Tzs 3500 and Tzs 5500 each, how many of each type of ticket were sold?
A rock concert brought in Tzs 4,325,000 on the sale of 950 tickets. If the tickets sold for Tzs 3500 and Tzs 5500 each, how many of each type of ticket were sold?
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Dec 3, 2023
Let's assume the number of tickets sold for Tzs 3500 is x. The number of tickets sold for Tzs 5500 is 950 - x. The total revenue from the sale of tickets for Tzs 3500 is x * 3500. The total revenue from the sale of tickets for Tzs 5500 is (950 - x) * 5500. The total revenue from the sale of all tickets is x * 3500 + (950 - x) * 5500 = 4325000. Expanding the equation, we get 3500x + 5225000 - 5500x = 4325000. Combining like terms, we get -2000x + 5225000 = 4325000. Subtracting 5225000 from both sides, we get -2000x = -900000. Dividing both sides by -2000, we get x = 450. Therefore, 450 tickets were sold for Tzs 3500 and 950 - 450 = 500 tickets were sold for Tzs 5500. Answer: \boxed{450, 500}.