Answer:
general admission tickets = 567
reserved tickets = 378
Step-by-step explanation:
Let number of general admission tickets be "g"
and number of reserved seats be "r"
Total 945 tickets, that means:
g + r = 945
Also, total value of all tickets is 5008.5, so we can write:
4.5g + 6.5r = 5008.5
We can write 1st equation as:
g = 945 - r
Now we plug it into 2nd equation and solve for r first:
![4.5g + 6.5r = 5008.5\\4.5(945-r) + 6.5r = 5008.5\\4252.5-4.5r+6.5r=5008.5\\2r=756\\r=378](https://tex.z-dn.net/?f=4.5g%20%2B%206.5r%20%3D%205008.5%5C%5C4.5%28945-r%29%20%2B%206.5r%20%3D%205008.5%5C%5C4252.5-4.5r%2B6.5r%3D5008.5%5C%5C2r%3D756%5C%5Cr%3D378)
Now, g is equal to:
g = 945 - r
g = 945 - 378
g= 567
So, reserved tickets sold were 378
and
general admission tickets sold were 567