<p>there are 75 more women than men enrolled in X College. If there are n men enrolled, then, in terms of n, what percent of those enrolled are men?</p>
<p>answer is 100n/2n + 75</p>
<p>I get why you have to 2n + 75 but why do you have to multiply by 100 on the numerator portion? KTHX</p>
<p>Because n/2n+75 expresses the decimal which needs to be converted to percent by multiplying 100.</p>
<p>By convention, percentage is determined by multiplying the actual value (between 0 and 1, for problems such as this) by 100. e.g., the probability of flipping a coin and coming up with heads is 1/2 = 0.5, but the percent chance is 0.5*100% = 50%.</p>
<p>how about the eggs in a certain basket are either white or brown. If the ration of the number of white eggs to the number of brown eggs is 2/3, each of the following could be the number of eggs in the basket EXCEPT</p>
<p>why is it 12?</p>
<p>Oh. So, we're given that the ratio of the number of white eggs (call that number W) to the number of brown eggs (call that number B) is 2:3. That means that we can express W as a number of the form 2n, and that we can express B as a number of the form 3n, where n is some positive integer (because we assume that there is a nonzero number of eggs). Hence, the total number of eggs must be divisible by 5, since the total number of eggs is equal to the sum of B and W, which is equivalent to 5n. And, of course, 12 is not divisible by 5!</p>
<p>q.e.d.</p>
<p>i like the "q.e.d."</p>
<p>I should start putting that after every math problem i do.</p>