10
algebra

A concert sold tickets for $10 for students and $15 for adults. They sold 5 student tickets and collected $95 total. How many adult tickets were sold?

A

2

B

4

C

5

D

3

Correct Answer: D

Choice D is the correct answer. Let ss be the number of student tickets and aa be the number of adult tickets.

Given: s=5s = 5 and 10s+15a=9510s + 15a = 95

Step 1: Substitute s=5s = 5: 10(5)+15a=9510(5) + 15a = 9550+15a=9550 + 15a = 95

Step 2: Solve for aa: 15a=4515a = 45a=3a = 3

Solution: 3 adult tickets were sold.

Verification: 10(5)+15(3)=50+45=9510(5) + 15(3) = 50 + 45 = 95

💡 Strategic Tip: When one variable is given, substitute immediately to simplify.

Choice A is incorrect because10(5)+15(2)=50+30=80 eq9510(5) + 15(2) = 50 + 30 = 80 \ eq 95.

Choice B is incorrect because10(5)+15(4)=50+60=110 eq9510(5) + 15(4) = 50 + 60 = 110 \ eq 95.

Choice C is incorrect because10(5)+15(5)=50+75=125 eq9510(5) + 15(5) = 50 + 75 = 125 \ eq 95.