Chad buys peanuts in 2 pound bags. He repackages them into bags that hold 5/6 pound of peanuts. How many 2 pound bags of peanuts should chad buy so that he can fill 5/6 pound bags without having any peanuts left over?
See the Related Questions below.
6 (5 / 6) = 6 (0.83333333333) = 5 lbs.
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To determine the number of 2 pound bags of peanuts Chad should buy, we need to find the least common multiple (LCM) between the weight of the original peanuts bags (2 pounds) and the weight of the repackaged bags (5/6 pound).
First, let's convert 5/6 pounds into a decimal. To do this, divide the numerator (5) by the denominator (6):
5 ÷ 6 = 0.83 (rounded to two decimal places)
Now we have the weight of the repackaged bags as 0.83 pounds.
To find the LCM, we can use a simple method. We start by listing the multiples of 2 pounds and 0.83 pound until we find the first common multiple.
Multiples of 2 pounds: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30...
Multiples of 0.83 pounds: 0.83, 1.66, 2.49, 3.32, 4.15, 4.98, 5.81, 6.64, 7.47, 8.30, 9.13, 9.96, 10.79, 11.62, 12.45...
From the lists above, we can see that the first common multiple is 6.64 pounds.
Now we need to find how many 2 pound bags Chad needs to reach the LCM.
6.64 pounds ÷ 2 pounds = 3.32
So Chad should buy 3.32 (rounded up to 4) bags of 2 pounds each to ensure he can fill the 5/6 pound bags without any peanuts left over.