<p>First, you should know that your equation (tuition-efc=federal aid) is not correct. Your FAFSA EFC will determine whether or not you’re eligble for any government grants, and subsidized or unsubsidized loans. (It’s not really quite that simple, but just speaking broadly here.)</p>
<p>So even if you got, say, a $2500 Pell grant, and say $3000 in subsidized loans, and another $5000 in unsubsidized loans… that gets you to $10,500. (And of course if you kept up borrowing at that rate you’d have a debt of $32,000 at the end of 4 years – not good!) Then add in maybe $3000 in workstudy that you may not even be able to make. That gets you to $13,500. Add in your family contribution of $2000, now we’re up to $15,500. Depending on where you go (probably an instate public for that amount) it may be barely enough to squeak you by if it’s a relatively inexpensive school, assuming you’re living on campus paying tuition, fees, room & board, books, and personal expenses. (Living at home can save a bundle.) So… no, your equation does not reflect the financial reality of going to college.</p>
<p>And you need to be very careful how much debt you take on. Schools call loans “financial aid” – but it’s not really aid because it’s still going to be your money (plus interest!) that pays those bills… just later on.</p>
<p>Addressing your other questions: Going out of state would not affect your aid, except if your state has some state funds available for in-state students – you wouldn’t be eligible for that. It will not affect your federal aid, however. (Although going to an out-of-state public college is usually much more expensive than it is for in-state students. (There are a few exceptions to this.)</p>
<p>A double major is not a factor in determing financial aid.</p>
<p>Colleges (public and private) have very individual policies for calculating aid. Offers can vary <em>dramatically</em> between different colleges. You usually won’t know what kind of offer you’ll get until you get accepted and actually see it. They can also have very different amounts of funding available depending on their endowments, various dedicated scholarship funds, and their policies.</p>
<p>There are also outside scholarships you can apply for, but lots of students will usually be competing with you for those funds.</p>