Question

I meant admission to baseball game is $2.00 for general admission and $4.50 reserved seats the receipt says $2680.50 for 919 paid admissions. How many of each ticket were sold?

Answer 1

Answer:

337 reserved seats & 582 general admission seats were sold

Step-by-step explanation:

Let the number of general admission be g, and

the number of reserved seats be r

Since $2 costs general and $4.5 costs reserved and in total $2680.50, we can write an equation as:

2g + 4.5r = 2680.5

Also, in total there are 919 general and reserved seats. Thus, we can write 2nd equation as:

g + r = 919

Rearranging, we get:

g = 919 - r

We put this into first equation (to get all in r) and solve for r first:

$2g + 4.5r = 2680.5\\2(919-r) + 4.5r = 2680.5\\1838-2r+4.5r=2680.5\\2.5r=842.5\\r=\frac{842.5}{2.5}\\r=337$

And now, since we know g = 919 - r, we have:

g = 919 - r

g = 919 - 337 = 582

Thus, 337 reserved seats & 582 general admission seats were sold