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# Help solving math problem?

A theater hosted a small concert, offering only reserved seating. Covered resered seats were sold for a $50 donation, while uncovered reserved seats were sold for a $20 donation. The total number of seats sold was 725, with total ticket sales of $23,500. How many of each type of ticket did the theater sell?

### 2 Answers

- 7 years agoFavorite Answer
Let c = number of covered seats sold, u = number of uncovered seats sold.

First write the cost equation.

50c + 20u = 23500

This shows that $50 per covered seat sold, plus $20 per uncovered seat sold, totals $23500.

Now write the sales equation.

c + u = 725

This shows that the total number of covered and uncovered seats sold totals 725. Rewrite the equation with one variable by itself.

c = 725 - u

Now substitute (725-u) for c in the cost equation.

50(725-u) + 20u = 23500

36250 - 50u + 20u = 23500

36250 - 30u = 23500

-30u = -12750

u = 425

There were 425 uncovered seats sold. Now substitute 425 for u in the sales equation.

c = 725 - 425

c = 300

There were 300 covered seats sold.

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- saladoLv 43 years ago
2x + 2y = 20 utilising the simultaneous technique 2x - 2y = 4 ____________ 4x = 24 ( divide by potential of four) x = 6 replace x in considered one of the two equations 2x + 2y = 20 2 (6) + 2y = 20 12 +2y = 20 2y = 20 - 12 2y = 8 (divide by potential of two) y = 4 answer : X = 6 , Y = 4

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