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 is filled 104 cans of soup. It feels cans at a rate of 13 cans per minute right and solve an equation to show when the two machines have the same number of cans of soup.

Answer 1

Let's denote the time (in minutes) it takes for the machines to have the same number of cans of soup by "t".

The number of cans of soup the first machine fills in "t" minutes can be represented by the equation:
16t

The number of cans of soup the second machine fills in "t" minutes can be represented by the equation:
13t

To find when the two machines have the same number of cans of soup, we set the two equations equal to each other and solve for "t":
16t = 13t

Subtracting 13t from both sides:
16t - 13t = 13t - 13t
3t = 0

Dividing both sides by 3:
t = 0

Therefore, the two machines will have the same number of cans of soup after 0 minutes.