500 tickets were sold for a concert. Some cost $5 and some cost $8. The cash received for the expensive tickets was $100 more than the cheaper tickets. Find the number of each kind of ticket which were sold.

Question

Mathematics

Jose Rollins

28 June, 00:44

500 tickets were sold for a concert. Some cost $5 and some cost $8. The cash received for the expensive tickets was $100 more than the cheaper tickets. Find the number of each kind of ticket which were sold.

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Answers (1)

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Jayda Donaldson · Answer 1

200 $5 tickets sold, and 300 $8 tickets sold

Step-by-step explanation:

x = # of $5 tickets sold

y = # of $8 tickets sold

This is a simple system the first equation is x + y = 500. The next equation is y = x + 100. Therefore you substitute the second equation into the first and get an answer of (200, 300) or 200 $5 tickets sold, and 300 $8 tickets sold.