Set 2: Systems of Equations

Choice D is correct. Choice D is the correct answer. Let $s$ = student tickets and $a$ = adult tickets. System: $\begin{cases} s + a = 250 \\ 5 s + 10 a = 1750 \end{cases}$ Step 1: From first: $a = 250 - s$ Step 2: Substitute: $$$5s + 10(250 - s) = 17505s + 2500 - 10 s = 1750$-5 s = -750s = 150 Solution: 150 student tickets Verification: $150+ 100 = 250$ ✓ and $5(150) + 10(100) = 750 + 1000 = 1750$ ✓ Strategic Tip: Ticket revenue = quantity × price. Other choices fail verification.