Answer:
168
Step-by-step explanation:
The first equation given is [tex]0.50 a +3.75 b= 2071.50[/tex]
Where a is number of adult tickets and b is number of student tickets
It is also given that 82 students attended, so we can put "82" in place of "b" and then solve the equation for a:
[tex]10.50a+3.75b=2071.50\\10.50a+3.75(82)=2071.50\\10.50a+307.5=2071.50\\10.50a=2071.50-307.5\\10.50a=1764\\a=\frac{1764}{10.50}\\a=168[/tex]
Hence, 168 adults attended