pads of paper come 4 to a box, pencils come 27 to a box, and erasers come 12 to a box. what is the least number of kits that can be made with paper,pencils,and erasers with no supplies left over?

Respuesta :

4 =2x2
6=2x3
27=3x3x3
LCM=2x2x3x3x3=108

Answer:

The answer is 108.

Step-by-step explanation:

Pads of paper come 4 to a box, pencils come 27 to a box, and erasers come 12 to a box.

To get the least number of kits, we will find the LCM of 4, 27 and 12.

4 = 2 x 2

27 = 3 x 3 x 3

12 = 2 x 2 x 3

LCM = 2 x 2 x 3 x 3 x 3 = 108

So, there will be [tex]\frac{108}{4}=27[/tex] boxes of paper.

[tex]\frac{108}{27}=4[/tex] boxes of pencils.

[tex]\frac{108}{12}=9[/tex] boxes of erasers.

So, the least number that satisfies this condition is 108.

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