Brenda's School is selling tickets to a spring musical. On the first day of ticket sales the school sold 3 senior citizen tickets and 9 child tickets for a total of $75. The school took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets

Set up a system of equations

3s+9c = 75

8s+5c = 67

Let's assign variables to the unknowns in this problem.

Let's represent the cost of a senior citizen ticket as "s" and the cost of a child ticket as "c".

Now we can set up two equations to represent the given information:

First Day:
3s + 9c = 75

Second Day:
8s + 5c = 67

These two equations represent the total amount earned on each day of ticket sales.

Let me know if you need help solving these equations or if you have any other questions!

To set up a system of equations, let's assign variables to the unknowns in the problem.

Let's use:
- Let's call the price of a senior citizen ticket "S".
- Let's call the price of a child ticket "C".

Now we can create the equations based on the given information.

First day sales:
- The school sold 3 senior citizen tickets for a total of 3S.
- The school also sold 9 child tickets for a total of 9C.
- The total sales for the first day is given as $75, so we can write the equation: 3S + 9C = 75.

Second day sales:
- The school sold 8 senior citizen tickets for a total of 8S.
- The school also sold 5 child tickets for a total of 5C.
-The total sales for the second day is given as $67, so we can write the equation: 8S + 5C = 67.

Now we have our system of equations:
3S + 9C = 75
8S + 5C = 67.