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Let x be the number of minutes needed for the two machines to fill the same number of cans of soup.
First machine cans filled: 16x + 92
Second machine cans filled: 13x + 104
Setting them equal and solving for x:
16x + 92 = 13x + 104
3x = 12
x = 4
Therefore, the two machines will have filled the same number of cans of soup after 4 minutes.