A stage theater sold tickets for $500. Senior citizens received a discount of 20% and paid only $400. On the initial showing, the theater sold 450 tickets and registered a total amount of $207, 500. How many of each type of tickets were sold?

275 tickets for regular patrons and 175 tickets for senior citizens.=D

Expert answered|daddy_ryan|Points 589|

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Asked 10/15/2010 4:22:13 AM

Updated 227 days ago|7/17/2023 12:46:53 AM

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Let's denote the number of regular tickets sold as "x" and the number of senior citizen tickets sold as "y".

Equation 1: x + y = 450 (Total number of tickets sold is 450)

Equation 2: 500x + 400y = 207,500 (Total revenue generated from ticket sales is $207,500)

To solve this system of equations, we can use the method of substitution.

From Equation 1, we can rewrite it as x = 450 - y and substitute it into Equation 2:

500(450 - y) + 400y = 207,500

Simplifying the equation:

225,000 - 500y + 400y = 207,500

225,000 - 100y = 207,500

-100y = -17,500

y = 175

x + 175 = 450

x = 450 - 175

x = 275

Therefore, the theater sold 275 regular tickets and 175 senior citizen tickets.

Equation 1: x + y = 450 (Total number of tickets sold is 450)

Equation 2: 500x + 400y = 207,500 (Total revenue generated from ticket sales is $207,500)

To solve this system of equations, we can use the method of substitution.

From Equation 1, we can rewrite it as x = 450 - y and substitute it into Equation 2:

500(450 - y) + 400y = 207,500

Simplifying the equation:

225,000 - 500y + 400y = 207,500

225,000 - 100y = 207,500

-100y = -17,500

y = 175

x + 175 = 450

x = 450 - 175

x = 275

Therefore, the theater sold 275 regular tickets and 175 senior citizen tickets.

Added 227 days ago|7/17/2023 12:46:53 AM

This answer has been confirmed as correct and helpful.

2 cars travel towards each other from points 500km apart. The 2 cars meet in 4 hrs. What is the ave speed of each car if one travels 15kph faster than the other? **Weegy:** you needed to contact another expert. Thanks (More)

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Expert Answered

Updated 227 days ago|7/17/2023 12:47:13 AM

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Let's denote the speed of the slower car as "x" km/h. Since the faster car is traveling 15 km/h faster, its speed would be "x + 15" km/h.

The formula for average speed is:

Average speed = Total distance / Total time

In this case, the total distance is 500 km and the total time is 4 hours.

For the slower car:

Average speed = 500 km / 4 hours = 125 km/h

For the faster car:

Average speed = 500 km / 4 hours = 125 km/h

Therefore, the average speed of each car is 125 km/h.

The formula for average speed is:

Average speed = Total distance / Total time

In this case, the total distance is 500 km and the total time is 4 hours.

For the slower car:

Average speed = 500 km / 4 hours = 125 km/h

For the faster car:

Average speed = 500 km / 4 hours = 125 km/h

Therefore, the average speed of each car is 125 km/h.

Added 227 days ago|7/17/2023 12:47:13 AM

This answer has been confirmed as correct and helpful.

Any ordered pair that satisfies each equation in the system is called: **Weegy:** Any ordered pair that satisfies each equation in the system is called: Solution. (More)

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