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

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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