Adult tickets cost $18 and children cost $12. A total of 1460 tickets were sold. $22,752 was collected from the sale. How many adult tickets were sold?

How do you solve this? I have gotten this far:

Let x = adult tickets
Let y= children tickets

18x + 12y = 22,752
x+y=1460

Did I set this up right and what next?

Question

Adult tickets cost $18 and children cost $12. A total of 1460 tickets were sold. $22,752 was collected from the sale. How many adult tickets were sold? 

How do you solve this? I have gotten this far:

Let x = adult tickets
Let y= children tickets

18x + 12y = 22,752
x+y=1460

Did I set this up right and what next?

anonymous · Answer

You did set this up right.

Next, isolate both y's and use the formula

y1 = y2

anonymous · Answer

You did this right**

anonymous · Answer

Do you still need help?

anonymous · Answer

Yes
I thought I had it but I am still confused

anonymous · Answer

So both of your formulas are good

anonymous · Answer

I just don't know what to do next.

anonymous · Answer

I have trouble when there are 2 variables

anonymous · Answer

Now let's get y1 = y2 so

12y = -18x + 22 752
y = -1.5x +1896

y= -x +1460

-x + 1460 = -1.5x +1896

anonymous · Answer

From here, you can find the value of x adn with the value of x, you can find the value of y.

anonymous · Answer

awesome

anonymous · Answer

x=872 whoo hoo!