SOLUTION: I need explanation and solution: A store divides 112 kilograms of potatoes into 3 kilogram and 2 kilogram bags. If the store ends up with twice as many 2 kilogram bags as 3 kilogr

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Question 861356: I need explanation and solution:
A store divides 112 kilograms of potatoes into 3 kilogram and 2 kilogram bags. If the store ends up with twice as many 2 kilogram bags as 3 kilogram bags, find how many bags of each type the store starts with.

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = number of 3 kg bags used
Let = number of 2 kg bags used
---------------
(1)
(2)
----------------
By substitution:
(1)
(1)
(1)
and, since
(2)
(2)
----------------
There are 16 of the 3 kg bags and
32 of the 2 kg bags

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