86.6k views
4 votes
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? *

User Mathilde
by
7.5k points

1 Answer

8 votes

Answer:

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

User Arjun Patel
by
8.3k points
Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories