Answer:
Price of 1 adult ticket is $10.8 and Price of 1 children ticket is $5.4.
Step-by-step explanation:
Given:
Number of adults = 2
Number of Children = 6
Total Amount of tickets sold = $54.
We need to find the price of one children's ticket and one adult ticket.
Solution:
Let the Cost of 1 adult ticket be 'x'.
Now Given:
Children tickets are on sale,half price of adult tickets.
Cost of 1 Children ticket = [tex]\frac{1}{2}x[/tex]
Total Amount is equal to Number of adults multiplied by Cost of adult ticket plus Number of Children multiplied by Cost of Children ticket.
Framing in equation for we get;
[tex]2x+\frac{1}{2}x\times 6=54\\\\2x+3x=54\\\\5x=54\\\\x=\frac{54}{5} = \$10.8[/tex]
Cost of 1 adult ticket = $10.8
Cost of 1 children ticket = [tex]\frac{x}{2}=\frac{10.8}{2} = \$5.4[/tex]
Hence Price of 1 adult ticket is $10.8 and Price of 1 children ticket is $5.4.