Question

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

After hour many hours will Charely have packed the same number of juice boxes as Teddy?

Answer 1

The equation is already set up for you. All you need to do is solve for x, the number of hours.

23 + 3x = 5x + 7 original equation
23 - 7 = 5x - 3x combine like terms by subtracting 7 and 3x from both sides
16 = 2x simplify
16/2 = x divide both sides by 2 to isolate x
8 = x solve for x
Therefore, the answer is 8 hrs.