Chad buys peanuts in 2 pound bags he repackages them into bags that hold 5/6 pounds of peanuts how many 2 pound bags of peanuts Should Chad by so that he can fill the 5/6 pound bags without having any peanuts leftover

(5/6) lb/bag * 12 bags = 10 pounds which is 5 of the 2 pound bags

To find out how many 2-pound bags of peanuts Chad should buy, we need to determine the ratio between the weight of a 2-pound bag and the weight of a 5/6 pound bag.

A 2-pound bag is equivalent to 2 pounds.
A 5/6 pound bag is equivalent to (5/6) * 2 = 10/6 pounds.

To avoid having any peanuts leftover, Chad needs to ensure that the total weight of the 2-pound bags is equal to or slightly less than the total weight of the 5/6 pound bags.

So, we need to find the least common multiple (LCM) between 2 and 10/6. This will give us the smallest number of 2-pound bags that can be used to fill the 5/6 pound bags.

The LCM of 2 and 10/6 can be calculated by:

Step 1: Convert 10/6 pounds to a mixed number.
10/6 = 1 4/6

Step 2: Find the LCM between 2 and 1 4/6.
2: 2, 4, 6, 8, 10, ...
1 4/6: 1 4/6, 3 2/6, 5, ...

By looking at the numbers, we can see that the LCM of 2 and 1 4/6 is 6.

Therefore, Chad should buy 6 bags of 2 pounds each so that he can fill the 5/6 pound bags without having any peanuts leftover.