Two machines at a factory are filling cans of soupOne 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 minuteWrite an equation to show when the two machines will have filled the same number of cans of soup. Use as your variable. (1 point)

Answer 1

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

The total number of cans filled by the first machine is 180 + 15x
The total number of cans filled by the second machine is 210 + 12x

Setting the two expressions equal to each other:
180 + 15x = 210 + 12x

Simplify the equation:
15x - 12x = 210 - 180
3x = 30

Divide by 3:
x = 10

Therefore, the two machines will have filled the same number of cans of soup after 10 minutes.