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Solving a word problem using a system of linear equations

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I'm just drawing a blank on how to work this type of problem and I have several of this type.Could you please explain step by step how to solve this type of algebra problem please?

Word problem---

The combined cost of one advance ticket and one same-day ticket to a show was $45. It is known that 30 tickets were sold in advance and 35 the same day, for total receipts of $1475. What was the price of each kind of ticket?

Price of Advance tickets:
Price of Same day tickets:

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Solution Preview

Let the price of an advance ticket be x and the price of a same-day ticket be y

Then we ...

Solution Summary

The expert solves a word problem using a system of linear equations. A complete, neat and step-by-step solution is provided.