Help on SAT math problem

Test Preparation SAT Preparation
1

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<p>Can someone please explain this to me? The correct answer is E but I keep getting D. I specifically don’t understand the in terms of n part.</p>

2

<p>There are 75 more women than men. This means that you have an equal number of women and men, and then add 75 more women.</p>

<p>If there are 25 men, there are 25 + 75 women.</p>

<p>If there are 100 men, there are 100 + 75 women.</p>

<p>so if there are n men, there are n + 75 women…right?</p>

<p>To get the percentage of men, you have to divide the number of men by the number of people (men and women), so:</p>

<p>n (men) / n (men) + (n + 75) (women)</p>

<p>This is the answer in decimal form, so to convert to % you multiply by 100 to get</p>

<p>100 * n / 2n + 75</p>

3

<p>This is question number 20, thus considered a very difficult question. Since there is a variable in the answer choice, I would do this by picking a number. Since the word “percent” appears choose n=100. So there are 100 men and 175 women for a total of 275 enrolled. 100/275 = .36363636… So 36.3637 percent are men.</p>

<p>Now plug n=100 into each answer choice. You get the following:</p>

<p>(A) .057…
(B) .3636…
(C) .003636…
(D) 57.14…
(E) 36.3636…</p>

<p>So we can eliminate choices (A) through (D) and the answer is choice (E).</p>

4

<p>yea, the answers is E</p>

5

<p>sorry for the lack of reasoning</p>

6

<p>Actually, the last questions in a section often present the danger of a time sink. In this case, the time sink takes the form of inviting a TIRED student to plug in numbers. And that is what ETS hopes! </p>

<p>All that is needed in this problem is to follow the words and write the equation. It is purely a reasoning and concentration problem that requires no number manipulation and is solved in about ten seconds. </p>

<p>To check it out, mentally rewrite the question, “What is the percentage of men in the total group?” </p>

<p>How many men? n<br>
How many women? n + 75
How many in the group? n + n + 75</p>

<p>Answer is n*100% / n + n + 75</p>

<p>PS I realize this is similar of what was suggested in Post 2, but with the caveat about avoiding jumping to the plug and chuck technique before attempting to reason through the problem.</p>

7

<p>Thanks everyone for your input. All the different ways to solve it helped!</p>

8

<p>xiggi, you are quite the boss.</p>