x = price of a senior ticket
y = price of a student ticket
First day: x + 14y = $225
Second day: 7x + y = $120
Let's solve this system of equations by substitution
Subtract 14y from both sides on our first equation
First day: x = $225 - 14y
Substitute this value into our second equation for x
7($225 - 14y) + y = $120
Distribute the 7
$1575 - 98y + y = $120
Combine like terms
$1575 - 97y = $120
Subtract $1575 from both sides
-97y = -1455
Divide both sides by -97
y = $15
Plug this value into our first equation
x + 14(15) = $225
Simplify
x + $210 = $225
Subtract $210 from both sides
x = $15
The senior and student tickets cost $15
