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Let x be the number of minutes it takes for the two machines to have filled the same number of cans of soup.
Machine 1: 16 cans/minute
Machine 2: 13 cans/minute
The total number of cans filled by machine 1 in x minutes is 16x, and the total number of cans filled by machine 2 in x minutes is 13x.
According to the information given:
16x = 92 (number of cans filled by machine 1)
13x = 104 (number of cans filled by machine 2)
Solve for x by setting the two equations equal to each other:
16x = 13x
16x - 13x = 92 - 104
3x = 12
x = 4
Therefore, it will take 4 minutes for the two machines to have filled the same number of cans of soup, and they will have filled 92 cans each.