Need algebra help for solving a value mixture problem using a system of linear equations

User Generated

cgureevna

Mathematics

Description

Suppose that there are two types of tickets to a show: advanced and same-day.  The combined cost one advance ticket and one same-day ticket is $60.  For one performance, 35 advance tickets and 30 same-day tickets were sold.  The total amount paid for the tickets was $1975,  What was the price of each kind of ticket?

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Explanation & Answer

Thank you for the opportunity to help you with your question!

Let x be same day tickets than

35*(60-x) +30*x = 1975

=> 5x = 2100-1975 = 125

=> x = 25

So same day tickets = 25

and advanced tickets sold = 35

Please let me know if you need any clarification. I'm always happy to answer your questions.


Anonymous
This is great! Exactly what I wanted.

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