Two machines at a factory are filling cans of soup. One machine has filled 92 cans of soup. It fills cans at a rate of 16 cans per minute. The second machine has filled 104 cans of soup. It fills cans at a rate of 13 cans per minute. Write and solve an equation to show when the two machines will have filled the same number of cans of soup.(1 point)

Responses

92+16x=104+13x ; x=4
92 plus 16 x equals 104 plus 13 x ; x equals 4

92+16x=104+13x ; x=6
92 plus 16 x equals 104 plus 13 x ; x equals 6

92−16x=104−13x ; x=−4
92 minus 16 x equals 104 minus 13 x ; x equals negative 4

104+16x=92+13x ; x=4

3 answers

104 plus 16 x equals 92 plus 13 x ; x equals 4
are u sure
I apologize for the incorrect answer. Let's solve the equation correctly.

To find when the two machines will have filled the same number of cans of soup, we can set up the equation:

92 + 16x = 104 + 13x

To solve for x, we can subtract 13x from both sides:

92 + 3x = 104

Then, subtract 92 from both sides:

3x = 12

Finally, divide both sides by 3 to solve for x:

x = 4

Therefore, the two machines will have filled the same number of cans of soup after 4 minutes.
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