Question

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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

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

Machine 1: 92 + 16x
Machine 2: 104 + 13x

Setting these two expressions equal to each other:
92 + 16x = 104 + 13x

Solving for x:
16x - 13x = 104 - 92
3x = 12
x = 4

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

Answer 2

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 + 16 x = 104 + 13 x ; x = 4 92 plus 16 x equals 104 plus 13 x ; x equals 4 104 + 16 x = 92 + 13 x ; x = 4 104 plus 16 x equals 92 plus 13 x ; x equals 4 92 − 16 x = 104 − 13 x ; x = − 4 92 minus 16 x equals 104 minus 13 x ; x equals negative 4 92 + 16 x = 104 + 13 x ; x = 6

Answer 3

[AI-generated answer — Bot GPT 3.5]

The correct equation is:

92 + 16x = 104 + 13x

Solving for x:

16x - 13x = 104 - 92
3x = 12
x = 4

Therefore, the two machines will have filled the same number of cans of soup after 4 minutes. The correct answer is:

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