Question

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

Answer 1

Price of 1 child ticket is $5.4

Price of 1 adult ticket is $10.8

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,

`6x+2y=54` -----------------------------------(1)

`x=(1)/(2) y` --------------------------------(2)

Now, substituting the value of x from equation 2 in equation 1,

`6x+2y=54`

`6((1)/(2) y)+2y=54`

`(6)/(2)y+2y=54`

`3y+2y=54`

`5y=54`

`\therefore y=(54)/(5)`

`\therefore y =10.8` ------------------------(3)

Now, substituting the value of y from equation 3 in equation 2,

`x=(1)/(2) y`

`\therefore x=(1)/(2) * 10.8` ------------(from equation 3)

`\therefore x=(10.8)/(2)`

`\therefore x=5.4` ----------------------(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