Question

A citrus dealer in Florida sells boxes of 100 oranges at a roadside stand. The boxes routinely are packed with one to three extra oranges to help ensure that customers are happy with their purchases. The average weight of an orange is 7.2 ounces, and the average weight of the boxes in which the oranges are packed is 3.2 pounds. Determine the total weight of five of these 100-orange boxes.

Answer 1

`\large \boxed{\text{250 lb}}`

Step-by-step explanation:

1. Weight of oranges

An average box contains 102 oranges, so

Five boxes contain 510 oranges

`\text{Weight of oranges} = \text{510 oranges} * \frac{\text{7.2 oz}}{\text{1 orange}} = \text{3672 oz}\\\\\text{Weight} = \text{3672 oz} * \frac{\text{1 lb}}{\text{16 oz}} = \text{230 lb}`

2. Weight of boxes

`\text{Weight} = \text{5 boxes} * \frac{\text{3.2 lb}}{\text{1 box}} = \text{16 lb}`

3. Total weight

`\begin{array}{rcr}\text{Oranges} & = & \text{230 lb}\\\text{Boxes} & = & \text{16 lb}\\\text{TOTAL} & = & \textbf{250 lb}\\\end{array}\\\text{On average, the total weight is $\large \boxed{\textbf{250 lb}}$}`

Note: The answer can have only two significant figures because that is all you gave for the average weight of an orange.