Algebra-2

Let's assume the number of children's tickets is  and the number of adult tickets is .

Step 1: Set up equations based on the quantity

We know that the total number of tickets is , so we have the equation:

Step 2: Set up equations based on the cost and price relationship

Let the cost of each children's ticket be  dollars. Then the cost of each adult ticket is  dollars.

She spent 100 on children's tickets, and since the number of children's tickets is  and the cost per children's ticket is , we have the equation , which implies .

Substitute  into , we get .

Substitute  into :

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