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a=# of adult tickets, s=# of student tickets

8a+5s=3475

a+s=500

Solve for s in this equation:

s=500-a

Now substitute 500-a in for s in the equation 8a+5s=3475:

8a+5(500-a)=3475

8a+2500-5a=3475

3a=975

a=325

ans. There were 325 adult tickets sold.

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Q: At a local theater adult tickets cost 8 and student tickets cost 5 At a recent show 500 tickets were sold for a total of 3475 How many adult tickets were sold?
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At a local theatre adult tickets cost 8 and student tickets cost 5 at a recent show 500 were sold for a total of 3475 how many adult tickets were sold?

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