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...,...,...,

1 answer

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.
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