# How do I solve this hard SAT Math question?

 0 I'm having some trouble with this SAT Math question: At a company, there are n more male employees than female employees. If there are k male employees at the company, what fraction of the employees are male, in terms of n and k? a. 1/(2k+n) b. k/(k+n) c. k/(2k-n) d. n/(2k+n) e. (k-n)/2k Can someone walk me through the steps to get to the correct answer? asked 12 Jan '16, 15:50 Sam_PrepScholar 1.4k●172●174●182

 0 The first thing you should do is use the variables to model the total number of employees at the company. We already know there are k male employees, so that's all set. How can we represent the number of female employees with the variables we're given? Since there are n more male employees than female employees, the number of female employees can be represented by the expression (k - n). This means that the total number of employees is: k + (k-n) = 2k - n. Now, let's look back at the original question. We want an expression that represents the fraction of the employees that are male. Since there are k male employees at the company, and there are 2k - n total employees, the fraction we're looking for is k/(2k - n). Choice c is the correct answer! answered 12 Jan '16, 15:55 Sam_PrepScholar 1.4k●172●174●182

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