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

ANSWER:

STEP-BY-STEP 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)

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

Replacing (3) in (2):

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