Question

21) Diana's school is selling tickets to their fall musical.

Answer 1

Answer:

An adult ticket costs $10 and a child ticket costs $4.5.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

x is the cost of an adult ticket.

y is the cost of a children ticket.

They sold 3 adult tickets and 8 children's tickets and made $66.

This means that $3x + 8y = 66$

The next day they sold 8 adult tickets and 15 children's tickets and took in $147.50.

This means that $8x + 15y = 147.50$

Solving the system:

I will use the addition method, multiplying the first equation by -8, the second by 3, and adding them. So

-24x - 64y = -528

24x + 45y = 442.5

-24x + 24x - 64y + 45y = -528 + 442.5

19y = 85.5

y = 85.5/19

y = 4.5

And

3x + 8y = 66

3x = 66 - 8y

3x = 66 - 8*4.5

3x = 30

x = 30/3

x = 10

An adult ticket costs $10 and a child ticket costs $4.5.