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front section tickets are $15 more expensive than back section tickets. If 275 front section and 325 back section tickets to a country music concert were sold for a total revenue of $19,125, how much does each type of ticket cost?
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MathPhys

Answer:

Front section tickets: $40

Back section tickets: $25

Step-by-step explanation:

If x is the price of back section tickets, and x + 15 is the price of front section tickets, then:

275 (x + 15) + 325 x = 19125

275 x + 4125 + 325 x = 19125

600 x = 15000

x = 25

So back section tickets are $25, meaning front section tickets are $40.

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