Trigonometry Questions

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16. Tickets for a show were available at a discounted price of $18 if bought in advance, and at the full price of $25 if purchased at the door. $9,035 was collected through the sale of 465 tickets. Suppose you want to find out how many of each type of ticket were sold.

Let x = number of discount tickets sold and y = number of full-price tickets sold.
(a) Write a system of two equations involving variables x and y, corresponding to the information given about the tickets.
Equation: 9035=x*18+y*25
Equation: 465=x+y

(b) Find the solution of your system of equations from part (a). Solution: x=370, y=25

(c) Interpret the solution in a sentence, in terms of ticket sales for the show.
Sentence: There were 370 tickets sold in advance and 25 tickets were sold at the door...

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