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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?

User Folk
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2 Answers

5 votes
4 =2x2
6=2x3
27=3x3x3
LCM=2x2x3x3x3=108
User Allentiology
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2 votes

Answer:

The answer is 108.

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
(108)/(4)=27 boxes of paper.


(108)/(27)=4 boxes of pencils.


(108)/(12)=9 boxes of erasers.

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

User Peter Hilton
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7.6k points