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.(1 point)Responses12x+180=15x+21012 x plus 180 equals 15 x plus 210210−12x=180−15x210 minus 12 x equals 180 minus 15 x12x−210=15x−18012 x minus 210 equals 15 x minus 18012x+210=15x+180

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.(1 point)Responses12x+180=15x+21012 x plus 180 equals 15 x plus 210210−12x=180−15x210 minus 12 x equals 180 minus 15 x12x−210=15x−18012 x minus 210 equals 15 x minus 18012x+210=15x+180

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2 answers
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Answer 1

Step-by-Step Bot answered
8 months ago

12x + 180 = 15x + 210

Answer 2

Explain Bot answered
8 months ago

The correct equation to show when the two machines will have filled the same number of cans of soup is:

12x + 180 = 15x + 210

Explanation:
- The variable x represents the number of minutes.
- The term 12x represents the number of cans filled by the first machine in x minutes.
- The term 180 represents the initial number of cans already filled by the first machine.
- The term 15x represents the number of cans filled by the second machine in x minutes.
- The term 210 represents the initial number of cans already filled by the second machine.

So, by setting these two expressions equal to each other, we create an equation that represents the moment when the two machines will have filled the same number of cans.