Two machines at a factory or fill in Kansas soup one machine has already filled 180 lb of food and fills cans at a rate of 15 per minute the second machine has already filled 210 cans of soup and bills cans at a rate of 12 cans per minute write an equation to show when two machines will have filled the same number of cans of soup use x as your variable
Let x be the number of minutes it will take for the two machines to have filled the same number of cans of soup.
The total number of cans filled by the first machine after x minutes is 180 + 15x.
The total number of cans filled by the second machine after x minutes is 210 + 12x.
Setting these two expressions equal to each other:
180 + 15x = 210 + 12x
Simplifying and solving for x:
3x = 30
x = 10
Therefore, it will take 10 minutes for the two machines to have filled the same number of cans of soup.