Solve the problem.
-Devon purchased tickets to an air show for 4 adults and 2 children. The total cost was $144. The cost of a child's ticket was $3 less than the cost of an adult's ticket. Find the price of an adult's ticket and a child's ticket.
A) adult's ticket: $24; child's ticket: $21
B) adult's ticket: $27; child's ticket: $24
C) adult's ticket: $26; child's ticket: $23
D) adult's ticket: $25; child's ticket: $22

Question

Quizplus · Accepted Answer

Let x be the cost of an adult's ticket. Then the cost of a child's ticket is x-3. The total cost of the tickets can be expressed as 4x + 2(x-3), since there are 4 adults and 2 children. This simplifies to 6x-6. We are told that the total cost is $144, so we can set up the equation:
6x-6 = 144
Solving for x, we get:
6x = 150
x = 25
Therefore, the cost of an adult's ticket is $25, and the cost of a child's ticket is $22. The correct answer is D. Let x be the cost of an adult's ticket. Then the cost of a child's ticket would be x-3. The total cost of tickets can be expressed as 4x + 2(x-3) = 144. Solving for x, we get x = 25. Therefore, an adult's ticket costs $25 and a child's ticket costs $22. Option D is the correct answer.

Solve the Problem. -Devon Purchased Tickets to an Air Show for 4 Adults