2 machines at the factory are filling cans of soup. One machine has filled 92 cans of soup@ 16 cans per minute. The second machine has filled 104 cans of soup @ 13 cans per minute. Write and solve an equation to show the 2 machines will have the same number of cans of soup
Let's use the variable t to represent the time in minutes it took for both machines to fill the same number of cans of soup.
The number of cans filled by the first machine can be expressed as: 16t
The number of cans filled by the second machine can be expressed as: 13t
Since we want to find when both machines fill the same number of cans, we can set up the equation:
16t = 13t
To solve this equation, we can subtract 13t from both sides:
16t - 13t = 13t - 13t
This simplifies to:
3t = 0
Dividing both sides by 3:
t = 0
Therefore, both machines will have the same number of cans of soup at t = 0 minutes.