The junior class at Summerfield High School sold a total of 375 tickets for their spring festival. The adult tickets sold for $7.50 each and the student tickets sold for $4.50 each. If the junior class collected $2,212.50 in ticket sales, how many student tickets did the class sell
No answer choices, please explain how you got the answer cause I have no clue how to do this
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I divided 2212.50 by the adult tickets, 7.50, and got 295. if the adults sold 295 tickets, then the students would have sold 80, because thats all that were left. I hope I helped

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vintechnology vintechnology · Answer 2 · 2022-01-18T14:57:57+01:00

The number of student tickets the class sold is 200.

Let

x = number of student ticket sold

y = number of adult ticket sold

The junior class at Summerfield High School sold a total of 375 tickets for their spring festival. Therefore,

Total tickets:

x + y = 375

The junior class collected $2,212.50 in ticket sales. Therefore,

Total sold:

4.50x + 7.50y = 2212.50

Combine the equation to get the number of student ticket sales.

x + y = 375

4.50x + 7.50y = 2212.50

Multiply equation(i) by 4.50x

4.50x + 4.50y = 1687.5

4.50x + 7.50y = 2212.50

3y = 525

y = 525 / 3

y = 175

x + y = 375

x = 375 - 175

x = 200

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