Solve the problem.
-Sam and Chad are ticket-sellers at their class play. Sam is selling student tickets for $2.00 each, and Chad selling adult tickets for $5.50 each. If their total income for 24 tickets was $83.00, how many tickets did Sam sell?
A) 16 tickets
B) 15 tickets
C) 10 tickets
D) 14 tickets

Question

Quizplus · Accepted Answer

Let x be the number of student tickets sold by Sam and y be the number of adult tickets sold by Chad. Then we have the system of equations:
x + y = 24 (total number of tickets)
2x + 5.5y = 83 (total income)
Solving for x in terms of y in the first equation, we get x = 24 - y. Substituting this into the second equation, we get:
2(24 - y) + 5.5y = 83
48 - 2y + 5.5y = 83
3.5y = 35
y = 10
Substituting y = 10 back into x = 24 - y, we get x = 14. Therefore, Sam sold 14 student tickets. The answer is D. Let's assume that Sam sold x student tickets and Chad sold (24-x) adult tickets. Therefore, the total income equation would be:

(2 * x) + (5.5 * (24-x)) = 83

Simplify and solve for x:

2x + 132 - 5.5x = 83

-3.5x = -49

x = 14

Therefore, Sam sold 14 student tickets and Chad sold 10 adult tickets. The answer is D, 14 tickets.

Solve the Problem. -Sam and Chad Are Ticket-Sellers at Their Class Play. Sam