Let x be the number of minutes it takes for the two machines to fill the same number of cans of soup.
Machine 1: 92 + 16x
Machine 2: 104 + 13x
Setting the two expressions equal to each other:
92 + 16x = 104 + 13x
Subtracting 13x from both sides:
3x = 12
Dividing by 3:
x = 4
Therefore, the two machines will have filled the same number of cans of soup after 4 minutes.
A)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 point)
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