Answer:
The answer is $180.
Explanation:
Since we have two different ticket types, let's say that adult tickets represent x, and children tickets represent y. In this case, the total price would be 12x+8y that is equal to $300. We have total of 30 tickets, too. Well, then x+y should be equal to 30. Our equation system turns out to this:
12x+8y=300
x+y=30
Since we're finding the x, that is the adult tickets, we need to eliminate y by multiplying the second equation by -8. When you do that,
12x+8y=300
-8x-8y=-240
Now, you can add them.
Those y's will cancel out, and we'll be left with,
12x-8x=60
4x=60
x=15
So we found x. Let's think, the adult tickets price was $12 per. We can say that the adult tickets' price will be,
12x
In this case, 12.15 will be our answer.
It's $180.
Let's demonstrate that we found the right answer,
8y=120
y=15 too.
That assures the second equation that is 15+15=30.
