Business Cents

Learning Focus

Build systems of equations from business contexts and solve for a break-even / meeting point.

Big idea

Two constraints → two equations. The solution $(x,y)$ must satisfy both.

Worked example

Tickets: adult $a$, student $s$.

• $a+s=40$ (40 tickets)
• $12a+8s=400$ ($400 revenue)

Solve by substitution or elimination to find how many of each.

Takeaways

• Define variables clearly from the story.
• Graphically, the intersection is the solution.