Answer:
Price of 1 child ticket is $5.4
Price of 1 adult ticket is $10.8
Step-by-step explanation:
Given:-
6 children and 2 adults are going for circus.
Children ticket is half the price of adult ticket.
Total ticketing cost =$54
To find:-
Cost of 1 child ticket=?
Cost of 1 Adult ticket=?
Solution:-
Let price of 1 child ticket be x and price of 1 adult ticket be y,
therefore from the given data we get 2 equations,
[tex]6x+2y=54[/tex] -----------------------------------(1)
[tex]x=\frac{1}{2} y[/tex] --------------------------------(2)
Now, substituting the value of x from equation 2 in equation 1,
[tex]6x+2y=54[/tex]
[tex]6(\frac{1}{2} y)+2y=54[/tex]
[tex]\frac{6}{2}y+2y=54[/tex]
[tex]3y+2y=54[/tex]
[tex]5y=54[/tex]
[tex]\therefore y=\frac{54}{5}[/tex]
[tex]\therefore y =10.8[/tex] ------------------------(3)
Now, substituting the value of y from equation 3 in equation 2,
[tex]x=\frac{1}{2} y[/tex]
[tex]\therefore x=\frac{1}{2} \times 10.8[/tex] ------------(from equation 3)
[tex]\therefore x=\frac{10.8}{2}[/tex]
[tex]\therefore x=5.4[/tex] ----------------------(4)
As, x is price of 1 child ticket and y is price of 1 adult ticket,
Therefore price of 1 child ticket is $5.4 and price of 1 adult ticket is $10.8
