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

Answer:

5 adult tickets

Step-by-step 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.

Answer 2

Answer:

Five adults were in the group of 8.

Step-by-step explanation:

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

      $y=#\ child\ tickets$            $5.5\times-3x+24=36.5$

                                              $2.5x=12.5$

$x+y=8\rightarrowy=-x+8$   $\nearrow$              $x=5$

$5.5x+3y=36.5$

  $5+y=8$

  $y=3$

I hope this helps you

:)