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Tickets to a school play were $5 for adults and $3 for students. A total of 247 tickets were sold for a profit of $1000. How many adult tickets an student tickets were sold?

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5 a + 3 s = 1000
a+s = 247 so s = (247-a)

5 a + 3(247-a) = 1000

5 a + 741 - 3 a = 1000

2 a = 259

a = 129.5 humm, poorly stated question?
s = 117.5

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