Heres what we know
X=2006 goals
y= 2007 goals
497 = X +Y which can be arranged to be y= 497 - x
y= 37 + x
soooo..
we make the y equations equal to each other
37 + x = 497 - x
2x = 460
x= 230
now plug that back into the original equation to check
y = 37 + (230)
y = 267
so in 2006 (remember x represents 2006 goals) she made 230 goals
12 /4 st your answer would be 3 st
Alright, we're dealing with a few values here, so let's give them some labels to save us some trouble down the road. We'll call the number of messages sent by Maria <em>m</em>, the number sent by Bill <em>b</em> and the number sent by Change (is that a real name?) <em>c</em>. We don't know exactly what each number is, but let's take a look at what information they do give us.
Change sent 2 times as many messages as Bill, or, using our variable for Change and Bill:

We're also given that Maria sent 7 messages more than Bill, which we can represent with:

Notice that <em>m</em> and <em>c</em> are both in terms of <em>b</em>. We can use this for our next step. We're given at the beginning that together, Maria, Bill, and Change sent 71 messages over the weekend. As an equation using all of our variables, this translates to:

Since <em>m </em>and <em>c </em>are both in terms of <em>b</em>, we can substitute those expressions in and solve for <em>b</em>:

Now that know that Bill sent 16 texts, we can find the numbers for Change and Maria:

So,
Bill sent 16 texts, Maria sent 23, and Change sent 32.
Supposing all were child tickets:
145x$5=$725
$1153-$725=$428 (diff. between above price and original price)
$9-$5=$4 (diff. between adult price and child price)
$428÷$4=107 (no. of adult tickets)
Ans: 107