<p>I'm not really sure what deems this as official, but I'm proclaiming it to be as such, and so it shall be!</p>
<p>I feel that a centralized SAT Question of the Day thread will be of great benefit to many forum users. First, we'll be able to discuss the absolute best methods to solve each question (thus sharpening our collective problem solving skills). Second, this thread could prove to be a great resource that could archive each and every SAT QOTD. Feel free to contribute your personal strategy in solving the daily question and whether or not you got it right.</p>
<p>7/24/2011: Today's question, in my opinion, is most efficiently solved through plugging in numbers. There definitely are alternate solutions, but they just don't seem necessary/as efficient to me.</p>
<p>^That serves as an archive, but it’s not really a viable medium for discussion. A thread will allow forum members to share different strategies for solving the daily SAT questions.</p>
<p>The July 21st one wasn’t really plug in. You just multiplied 1.2 by 0.8 to find the percent relative to the other rectangle, 0.96 (4 percent less). I don’t see how it could be done any other way, really.</p>
<p>You just make both sides of the rectangle equal 10, then you get 8x12=96, which is 4% less than the original, which is the correct answer. I prefer to do it that way since you can use logic to make sure the answer makes sense.</p>
<p>The College Board’s solution for today’s problem was nebulous and completely unhelpful. Check out this solution from eagles94; it’s very clear/helpful:</p>
<p>Here is how I did it. I think doing it algebraically helps with fundamentals. Meaning you can tackle more problems when plugging in wont work. It also takes a little bit longer than plugging in but worth it.</p>
<p>a/b = 3 & b/c = 7 </p>
<p>now b = 7c. Plug that back in for b in a/b = 3.</p>
<p>a/7c = 3
a = 21c</p>
<p>now we have
a = 21c
b = 7c
and c </p>
<p>just subsitute the values
a+b/b+c </p>
<p>21c + 7c/ 7c + c </p>
<p>= 28c/8c</p>
<p>which = 7/2 cause the c’s cancel out.</p>
<p>simple and effective. takes no more than 20-30 seconds.</p>