Question

Jackie has 24 boxes of juice packed and plans to pack 4 additional boxes each hour. Paul has 8 boxes packed and plans to pack 6 additional boxes each hour. The equation below represents when Jackie and Paul will have packed the same number of boxes, based on x number of hours. 24 + 4x = 6x + 8 After how many hours will Paul have packed the same number of juice boxes as Jackie? *

Answer 1

8 hours

Explanation:

Let us represent the number of hours as: x

For Jackie

Jackie has 24 boxes of juice packed and plans to pack 4 additional boxes each hour.

24 + 4x...... Equation 1

Paul has 8 boxes packed and plans to pack 6 additional boxes each hour.

8 + 6x....... Equation 2

Combining both Equations

24 + 4x = 8 + 6x

Collect like terms

24 - 8 = 6x - 4x

16 = 2x

x = 16/2

x = 8 hours

Therefore, after 8 hours Paul will have packed the same number of juice boxes as Jackie