Two machines at a factory are filling cans of soup one machine has already filled 180 cans of soup and fills cans at a rate of 15 per minute the second machine has already filled 210 cans of soup and fills cans at a rate of 12 per minute write an equation to show when the two machines will have filled the same number of cans of soup use x as your variable

Question

Two machines at a factory are filling cans of soup one machine has already filled 180 cans of soup and fills cans at a rate of 15 per minute the second machine has already filled 210 cans of soup and fills cans at a rate of 12 per minute write an equation to show when the two machines will have filled the same number of cans of soup use x as your variable

Answer 1

Let "x" represent the number of minutes it takes for the two machines to have filled the same number of cans of soup.

The first machine fills cans at a rate of 15 per minute, so after "x" minutes, it would have filled 15x cans of soup.

The second machine fills cans at a rate of 12 per minute, so after "x" minutes, it would have filled 12x cans of soup.

To find when the two machines will have filled the same number of cans of soup, we set the two expressions equal to each other:

15x = 12x