High School

The school you are attending is selling tickets to the fall festival.

- On the first day, the school sold 14 senior citizen tickets and 1 child ticket for a total of $66.50.
- On the second day, the school sold 2 senior citizen tickets and 2 child tickets for a total of $16.00.

What is the price of one senior citizen ticket?

Answer :

Answer:

Price of each senior citizen ticket is $12 and one child ticket is $3

Step-by-step explanation:

The price of one senior citizen ticket is $ 4.50.

Let x = price of one senior citizen ticket and y = price of one child ticket.

Now, since On the first day, the school sold 14 senior citizen tickets and 1 child ticket for a total of $66.50. WE have that

14x + y = 66.50 (1)

Also, on the second day, the school sold 2 senior citizen tickets and 2 child tickets for a total of $16.00. We have that

2x + 2y = 16.00 (2)

From (1), y = 66.50 - 14x

Substituting y into (2), we have

2x + 2y = 16.00

2x + 2(66.50 - 14x) = 16.00

2x + 2(66.50 - 14x) = 16.00

2x + 133 - 28x = 16

2x - 28x = 16 - 133

-26x = -117

x = -117/-26

x = 4.5

So, the price of one senior citizen ticket is $ 4.50.

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