Question

Two machines in a factor are feeling cancer soup one machine has already filled 180 cans of soup and fill cans and a rate of 15 per minute. The second machine has already filled 210 cans of soup and fill 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 number of cans filled by the first machine after x minutes can be represented as 180 + 15x.
The number of cans filled by the second machine after x minutes can be represented as 210 + 12x.

Setting these two expressions equal to each other gives:

180 + 15x = 210 + 12x

Solving for x:

15x - 12x = 210 - 180
3x = 30
x = 10

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