Answer:
One senior tickets costs $15, and one student ticket costs $10.
Explanation:
Let 'x' represent the price of a senior citizen ticket and let 'y' represent the price of a student ticket.
10 senior tickets and 7 student tickets amounts to $220. Writing this as an equation, we get:
10x+7y=220
5 senior tickets and 9 student tickets amounts to $165. Writing this as an equation, we get:
5x+9y=165
Now, we can use simultaneous equations to find the values of 'x' and y':
10x+7y=220
5x+9y=165
>> Multiply the second equation by -2:
10x+7y=220
-10x-18y=-330
>>> Add/combine equations
-11y=-110
y=10, so student tickets cost $10 each
Sub value for y into one of the equations to fund x:
10x+7y=220
10x+7(10)=220
10x+70=220
10x=150
x=15, so senior tickets cost $15 each