Aschool is selling tickets to their annual talent show. on the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. on the second day, the school sold 7 senior citizen tickets and 5 student tickets for a total of $126. what did the school charge for one senior citizen ticket?

Let's mark or variables as c = senior Citizen and S = Student.

We know that:

4c + 5s = 102

7c + 5s = 126

Elimination seems to be an easy way to solve this. So, we multiply the first equation by -1, thus eliminate the student tickets for now:

-4c - 5s = -102

7c + 5s =  126

3c = 24

Divide both sides by 3:

c = 8

Now we can solve for c and check our work:

4 * 8 + 5s = 102

32 + 5s = 102

5s = 70

s = 14

7 * 8 + 14 * 5 = 126

56 + 70 = 126

126 = 126

So senior citizen tickets are $8 and student tickets are $14.

answer: evaluate the objective function at each vertex to determine which - and -values, if any, maximize or minimize the function. example: find the minimum value and maximum value of the objective function f ( x , y ) = 4 x + 5 y , subject to the following constraints