Senior and student tickets.

Question

The school that Lisa go through is selling tickets to be in your town The school that Lisa go through is selling tickets to the 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. School took in $126 on the second day by selling seven senior citizen tickets and five student tickets. What is the price School took in $126 on the second day by selling seven senior citizen tickets and five student tickets. What is the price of each of one senior citizen ticket and one student ticket

Answer 1

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

Here's what we know:

4c + 5s = 102

7c + 5s = 126

 

Elimination seems to be an easy way to solve this. 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.