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) Responses 92+16x=104+13x ; x=6 92 plus 16 x equals 104 plus 13 x ; x equals 6 104+16x=92+13x ; x=4 104 plus 16 x equals 92 plus 13 x ; x equals 4 What’s the answer

1 answer

The correct equation to show when the two machines will have filled the same number of cans of soup is:

92 + 16x = 104 + 13x
where x is the number of minutes it will take for the two machines to have filled the same number of cans.

Solving for x:
92 + 16x = 104 + 13x
16x - 13x = 104 - 92
3x = 12
x = 4

Therefore, it will take 4 minutes for the two machines to have filled the same number of cans of soup.