Pupil pencil pen

Sixth graders received 264 pencils and 330 pens. How many students can be in this class so that each student gets the same number of pencils and pens? How many pens and pencils does each student get?

Final Answer:

n =  66
a =  4
b =  5

Step-by-step explanation:

$$\begin{gathered} 264=2^3\cdot 3\cdot 11 \\ 330=2\cdot 3\cdot 5\cdot 11 \\ \text{GCD}(264,330)=2\cdot 3\cdot 11=66 \\ n=GCD(264,330)=66 \end{gathered}$$

$a=264/n=264/66=4$

$b=330/n=330/66=5$

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