Teddy has 23 boxes of juice packed and plans to pack 3 additional boxes each hour. Charley has 7 boxes packed and plans to pack 5 additional boxes each hour. The equation below represents when Teddy and Charley will have packed the same number of boxes, based on x number of hours. 23 + 3x = 5x + 7 After how many hours will Charley have packed the same number of juice boxes as Teddy?

Question

Mathematics

Lewis

31 August, 10:11

Teddy has 23 boxes of juice packed and plans to pack 3 additional boxes each hour. Charley has 7 boxes packed and plans to pack 5 additional boxes each hour. The equation below represents when Teddy and Charley will have packed the same number of boxes, based on x number of hours. 23 + 3x = 5x + 7 After how many hours will Charley have packed the same number of juice boxes as Teddy?

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Answers (1)

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Jean Wright · Answer 1

8 hours

Step-by-step explanation:

23 + 3x = 5x + 7

First would be to subtract 3x from both sides to maintain equality.

23 = 2x + 7

Then subtract 7 from both sides

16 = 2x

Finally divide by 2 from both sides to solve for x

8 = x