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IgorLugansk [536]
2 years ago
5

There were 436 tickets purchased for a major league baseball game. The general admission tickets cost ​$6.50 and the upper reser

ved tickets cost ​$8.00. The total amount of money spent was ​$3284.00. How many of each kind of ticket were​ purchased?
How many general admission tickets were​ purchased? ____
How many upper reserved tickets we purchased? ___
Mathematics
1 answer:
monitta2 years ago
7 0

Answer:

136 general admission tickets were​ purchased, and 300 upper reserved tickets were purchased.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the number of general admission tickets purchased.

y is the number of reserved tickets purchased.

There were 436 tickets purchased for a major league baseball game.

This means that x + y = 436, or also, x = 436-y

The general admission tickets cost ​$6.50 and the upper reserved tickets cost ​$8.00. The total amount of money spent was ​$3284.00.

This means that 6.5x + 8y = 3284. Since x = 436-y

6.5(436-y) + 8y = 3284

1.5y = 450

y = \frac{450}{1.5}

y = 300

And:

x = 436 - y = 436 - 300 = 136

136 general admission tickets were​ purchased, and 300 upper reserved tickets were purchased.

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