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change the Perspective of the question: how many cookies the absent students should get?

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Solution



Given
In this question, we are given that
• A teacher buys C cookies to divide evenly among the K students in her class for a Valentine’s Day party
• P of the students are absent in the party

To find
We need to determine
• The maximum number of cookies the teacher can eat if she wants to be able to feed her class at the rate originally intended

Approach and Working
First, let’s translate the given information into mathematical form:
    • As there are C cookies and K students, each student was supposed to get \(\frac{C}{K}\) cookies
    • However, there were P students who are absent, and the remaining (K – P) students each got \(\frac{C}{K}\) cookies

Hence, we can say that the total cookies distributed to the students, who are present = \((K – P) * \frac{C}{K}\)
    • Therefore, we can infer that the maximum cookies the teacher can eat = \(C – (K – P) * \frac{C}{K} = \frac{1}{K} (KC – KC + CP) = \frac{CP}{K}\)

Thus, option A is the correct answer.

Correct Answer: Option A

To understand how critical "Translate" process skill is to master GMAT Quant, please click on the image below

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