Question

Tickets to the local carnival cost $5.50 for adults and $3.00 for children under the age of 12. A group of 8 people bought tickets to the carnival for $36.50. Write a system of equations to represent this scenario. How many adult tickets were sold? Just type in the ONE number answer.

Answer 1

Five adults were in the group of 8.

Explanation:

`Let\ x=#\ adult\ tickets`
`5.5x+3(-x+8)=36.5`

`y=#\ child\ tickets`
`5.5*-3x+24=36.5`

`2.5x=12.5`

`x+y=8\rightarrowy=-x+8`
`\\earrow`
`x=5`

`5.5x+3y=36.5`

`5+y=8`

`y=3`

I hope this helps you

:)

Answer 2

5 adult tickets

Explanation:

Let x be adult tickets and y be tickets for children under the age of 12.

We know the group of 8 people spent a total of 36.50 dollars, so we can create the following system of equations:

$5.5x + $3y = $36.5

x + y = 8

Now we can graph this system to help us answer the question.

-> See attached

-> The point at which the lines intersect answers our question. It means these values satisfy both equations.

The equations, when graphed, intersect at point (5, 3). In the beginning I said that x is adult tickets, so 5 adult tickets were sold.