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?
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 \(\frac{108}{4}=27\) boxes of paper.
\(\frac{108}{27}=4\) boxes of pencils.
\(\frac{108}{12}=9\) boxes of erasers.
So, the least number that satisfies this condition is 108.