Question

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 is shown below.

23+3x=5x+7

after how many hours will charley have packed the same amount of juice boxes

Answer 1

Answer: After 8 hours.

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.