The Radio City Music Hall is selling tickets to Kayla’s premiere at the Rockettes. On the first day

The Radio City Music Hall is selling tickets to Kayla’s premiere at the Rockettes. On the first day of ticket sales they sold 3 senior citizen tickets and 9 child tickets for a total of $75. It took in $67 on the second day by selling 8 senior citizen tickets and 5 child tickets. What is the price of each senior citizen ticket and each child ticket?

Let the cost of child tickets be c
Let the cost of senior tickets be s

Since revenue = cost * quantity, we're given two equations:

1. 9c + 3s = 75
2. 5c + 8s = 67

To solve this simultaneous group of equations, we can use 3 methods:

• Substitution Method
• Elimination Method
• Cramer's Rule

No matter which method we use, we get the same answer:

• c = 7
• s = 4