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.Single line text.

Answer 1

For this case let :

x= number of adults

y= number of children

We can create the following equations:

x +y =8

5.5 x + 3.0 y=36.50

Then we can solve for x and we got:

x = 8-y

And replacing in the second equation we got:

5.5*(8-y)+ 3y = 36.50

44 -5.5y +3y = 36.50

44-36.50 =2.5y

7.5 =2.5y

y= 3

And for x we got:

x = 8- 3=5

Then the solution would be:

5 adult tickets