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's gravatar image

Sam_PrepScholar
1.4k172174182


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!

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answered 12 Jan '16, 15:55

Sam_PrepScholar's gravatar image

Sam_PrepScholar
1.4k172174182

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