Question

J. The local theater is showing
a matinee and offering a
special deal for the community. A ticket for an adult
costs $11 and a ticket for a child costs $6.
The theater
sells a total of 60 tickets and collects $460. How many
adult tickets x and children tickets y are
sold? i’d like this solved with elimination

Answer 1

Answer:

40 children tickets are sold while 20 adult tickets are sold

Step-by-step explanation:

Your system of equations are

11x+6y=460

x+y=60

we will use x+y=60 for the x to be eliminated

Multiply x+y=60 by 11 to get:

11x+11y=660

Then subtract:

11x+6y=460

-11x+11y=660

-5y=-200

Divide:

-5y=-200

-5     -5

y=40

The substitute y in one of the system of equations:

x+40=60

  -40  -40

x=20

And so 40 children tickets are sold while 20 adult tickets are sold

Hope It Helped :)