Answer:
156 senior/student tickets were sold.
Step-by-step explanation:
Create a system of equations (I used 'x' for full price people and 'y' for senior/students)
10.75x + 6y = 3,301
x + y = 376
Then solve for one variable by moving one variable to the right on the second equation:
x + y = 376 to x = 376 - y
Now plug that new equation into the first equation, where the 'x' is.
10.75(376 - y) + 6y = 3,301
Distribute 10.75 into the parentheses:
4,042 - 10.75y + 6y = 3,301
Now combine like terms:
4,042 - 4.75y = 3,301
Move 4,042 to the right to combine with 3,301:
4,042 - 4,042 -4.75y = 3,301 - 4,042
-4.75y = -741
Now divide both sides by -4.75:
-4.75y/-4.75 = -741/-4.75
y = 156
156 senior/student tickets!