Answer
$\text{110 adult tickets sold, and 215 senior tickets sold.}$
Work Step by Step
Let us consider that $\text{x= Number of adult tickets sold and}$ $\text{y =Number of senior tickets sold}$
We are given:
$x+y=325~~~(1) $
and
$9x+7y=2495~~~(2)$
We multiply equation (1) by $-7$ and add it to the equation (2):
$-7x+9x=-2275+2495 \\ 2x=220 \implies x=110$
Now, back substitute the value of $x$ into Equation (1) to solve for $y$:
$110+y=325 \implies y=325-110=215$
Therefore, our desired results are:
$\text{110 adult tickets sold, and 215 senior tickets sold.}$
