Answer:
The price of an adult's ticket is $18.5 and price of a child's ticket is $11.
Step-by-step explanation:
We are given the following in the question:
Let x dollars be the cost of an adult's ticket and y dollars be the cost of a child's ticket.
The cost of three adults and two children tickets is $77.50
Thus, we can write the equation:
[tex]3x + 2y = 77.50[/tex]
The cost of two adults and three children tickets is $70.00
Thus, we can write the equation:
[tex]2x+3y = 70[/tex]
Solving the two equations, we get
[tex]6x+4y-(6x+9y) = 155-210\\\Rightarrow -5y = -55\\\Rightarrow y = 11\\\Rightarrow 2x + 33 = 70\\\Rightarrow x = 18.5[/tex]
Thus, the price of an adult's ticket is $18.5 and price of a child's ticket is $11.
