5
algebra

A school play sold 250 tickets. Student tickets cost $5 and adult tickets cost $10. Total revenue was $1,750. How many student tickets were sold?

A

120 student tickets

B

130 student tickets

C

140 student tickets

D

150 student tickets

Correct Answer: D

Choice D is the correct answer. Let ss = student tickets and aa = adult tickets.

System: {s+a=2505s+10a=1750\begin{cases} s + a = 250 \\ 5s + 10a = 1750 \end{cases}

Step 1: From first: a=250sa = 250 - s

Step 2: Substitute: 5s+10(250s)=17505s + 10(250 - s) = 17505s+250010s=17505s + 2500 - 10s = 17505s=750-5s = -750s=150s = 150

Solution: 150 student tickets

Verification: 150+100=250150 + 100 = 250 ✓ and 5(150)+10(100)=750+1000=17505(150) + 10(100) = 750 + 1000 = 1750

💡 Strategic Tip: Ticket revenue = quantity × price.

**Other choices fail verification.