6 children and 2 adults are going to the circus. Children tickets are on sale,half price of adult tickets totaling $54. How much is the price of one children's ticket and one adult ticket?

Respuesta :

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.