<p>If it asks for the greatest ratio, does that mean the smallest fraction? Can someone explain this?</p>
<p>The table above shows the number of car rental locations for five car rental companies. For which of the five companies is the ratio of the number of foreign locations to the number of United States locations the greatest?</p>
<p>Company, US , Foreign
A, 1400, 4000
B, 1300, 3300
C, 1012, 3618
D, 1242, 2268
E, 762, 2100</p>
<ol>
<li>In a certain game, each token has one of three possible values: 1 point, 5 points, or 10 points. How many different combinations of these token values are worth a total of 17 points?</li>
</ol>
<p>A) Two
B) Three
C) Four
D) Five
E) Six</p>
<ol>
<li>A cube with volume 8 cubic centimeters is inscribed in a sphere so that each vertex of the cube touches the sphere. What is the length of the diameter, in centimeters, of the sphere?</li>
</ol>
<p>A) 2
B) sqrt 6
C) 2.5
D) 2 sqrt 3
E) 4</p>
<p>Answers are 1-C, 2-E, 3-D</p>
<p>Ughhhh I’m in the high 2100s right now… I pray for focus and an easy test for a 2250+ T_T</p>
<p>1)The largest ratio means a large number to a small one; for instance 3 to 1 is a larger ratio than 2 to 1. Just divide the foreign by the US and whichever yields the greatest number is the largest ratio so I believe that would be C.</p>
<p>2) For this one I would just list them all out and you will get 6 different ways.</p>
<p>3) You have to realize that the diameter of the sphere will be the diagonal of the cube which will be 2√3</p>
<p>1) Simply divide Foreign Companies by U.S. Companies. This method is fairly long. It could take you 30 seconds to a minute to type A,B,C,D, and E into your calculator.</p>
<p>What I did when I first viewed the problem I eliminated obvious ones like D where I knew the ratio would be fairly low. A good “tip” is to round numbers in your head to see if the ratio is above a certain integer. When I answered this question I didn’t touch my calculator since C became the obvious answers.</p>
<p>
</p>
<p>How many different times can 10 be used? ~ 17 - 10 = 7, so once.
How many different times can 5 be used? ~ 17 - 5 = 12 - 5 = 7 - 5 = 2, so three times.
How many different times can 1 be used? ~ 17-1 = 16… etc
Create all the ones you know how to do so far.
10, 5, 1, 1 = 17
5,5,5,1,1 = 17
1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1 = 17
If 5 can be used three times then it can be used twice and once.
5,5,1,1,1,1,1,1,1 = 17
5,1,1,1,1,1,1,1,1,1,1,1,1 = 17
The last one is probably the most trickiest and it is:
10,1,1,1,1,1,1,1 = 17</p>
<p>When I did it I didn’t do all this work since I took all the combinations of 10+5, 5+5+5, 5+5 10+, 5+, and 1+. I thought a thorough explanation will help you catch any mistakes that you may have encountered.</p>
<p>
</p>
<p>You are trying to find the line/cord that goes from the bottom left corner to the top right corner. (can be any two opposite corners). </p>
<p>With that being said, I did the lazy man’s approach. You’re probably supposed to use 45-45-90 and 30-60-90 triangles, but I prefer this approach. ;)</p>
<p>*If you took sqrt of 12 on your calculator and got the answer of 3.46. Oh wait that isn’t one of the answers or is it? Remember if you ever get a decimal answer on the SAT, especially a MC question the answer may still be there just in a rationalized form.</p>
<p>There shouldn’t be a fraction. You are comparing Foreign companies to U.S. companies which yields a number, not a fraction. If it were U.S. companies to Foreign companies it would yield a fraction.</p>
<p>^true, but the number should in this case should be greater than 0.
Since you are looking for the highest number from Foreign to U.S.
If you went from U.S. to Foreign you’d want the lowest number or the smallest fraction. </p>
<p>Yes, the smallest fraction works as well b.c it is inversely proportional to the highest ratio.
If using the smallest fraction has worked for you in the past then go with it!</p>