Let's symbolize the number of minutes it takes for machine 1 to fill x cans of soup as 15x and the number of minutes it takes for machine 2 to fill x cans of soup as 12x.
To find when both machines will have filled the same number of cans of soup, we can set up the equation:
180 + 15x = 210 + 12x
Therefore, the equation to show when the two machines will have filled the same number of cans of soup is 180 + 15x = 210 + 12x.
Linear Equations in Real-World Scenarios Quick Check
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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)
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