Question

The blank school fall play was in October 2019. On the first day the school sold 15 student tickets and 10 adult tickets. They made $145. On the second day they made $203 and sold 21 student tickets and 14 adult tickets. How much was an adult ticket? How much was a student ticket?

Answer 1

Explanation:

With the information in the statement we can propose the following system of equations: Let x be the ticket value for students and y value the ticket for adults.

`\begin{gathered} 15x+10y=145\text{ (1)} \\ 21x+14y=203\text{ (2)} \end{gathered}`

Solving x in (1)

`\begin{gathered} 15x=145-10y \\ x=(145)/(15)-(10)/(15)y \\ x=(29)/(3)-(2)/(3)y\text{ (3)} \end{gathered}`

Replacing (3) in (2):