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# A third-grade teacher has n boxes, each containing 12 pencil

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A third-grade teacher has n boxes, each containing 12 pencil [#permalink]  03 Feb 2017, 02:38
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Question Stats:

78% (00:59) correct 21% (01:29) wrong based on 41 sessions

A third-grade teacher has n boxes, each containing 12 pencils. After the teacher gives p pencils to each student in the class, the teacher has t pencils left over. Which of the following represents the number of students in the class?

A) $$\frac{12n - t}{p}$$

B) $$\frac{12n + t}{p}$$

C)$$\frac{12n}{p}$$ $$- t$$

D) $$\frac{12p - t}{n}$$

E) $$\frac{12p + t}{n}$$
[Reveal] Spoiler: OA

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Re: A third-grade teacher has n boxes, each containing 12 pencil [#permalink]  15 Feb 2017, 19:55
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Explanation

Let number of students in class be x.

teacher has n boxes, each containing 12 pencils or 12n pencils in total.

teacher has t pencils left over

So we can say

$$x \times (p) + t = 12n$$
$$x(p) + t = 12n$$
$$x(p) = 12n - t$$
$$x = (12n - t)/p$$

Hence option A is correct.
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Re: A third-grade teacher has n boxes, each containing 12 pencil   [#permalink] 15 Feb 2017, 19:55
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