Let x be the number of minutes it takes for the two machines to have filled the same number of cans of soup.
The first machine fills 16x cans of soup.
The second machine fills 13x cans of soup.
We can set up the equation 16x = 13x + 92 to represent this situation.
Simplifying the equation, we get 3x = 92.
Dividing both sides by 3, we get x = 92/3 = 30.667.
Therefore, it takes approximately 30.667 minutes for the two machines to have filled the same number of cans of soup.
Two machines at a factory are filling cans of soup. One machine has filled 92 cans of soup. It fills cans at a rate of 16 cans per minute. The second machine has filled 104 cans of soup. It fills cans at a rate of 13 cans per minute. Write and solve an equation to show when the two machines will have filled the same number of cans of soup. Answer correctly!
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