Question

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

Answer 1

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.