Answer: After 8 hours.
Step-by-step explanation:
Here, x represents the hour after which Charley has packed the same number of boxes.
Here, Teddy has 23 boxes of juice packed and plans to pack 3 additional boxes each hour.
Therefore, after h hour the number of boxes teddy has = 23 + 3x
And, Charley has 7 boxes packed and plans to pack 5 additional boxes each hour.
Therefore, after h hour the number of boxes Charley has = 5x +7
And, according to the question,
23 + 3x = 5x +7
⇒ 23 = 5x - 3x +7 ( By the addition property of equality)
⇒ 23 -7 = 2x ( By the subtraction property of equality)
⇒ 16 = 2x
⇒x = 16/2 = 8 ( By the division property of equality)
Thus, after 8 hours both have the same number of boxes.
