Suppose that you were given the job of shipping 25,000 hex nuts to a customer. How many boxes of hex nuts would this be? All you have is a hanging scale and a barrel of hex nuts. Describe how you could determine the proper number of pieces without physically counting them out

Question:

Suppose that you were given the job of shipping 25000 hex nuts to a customer. How many boxes of hex nuts would this be? All you have is a hanging scale and a barrel of hex nuts. Describe how you could determine the proper number of pieces without physically counting them out. [info: 8.77 boxes of hex nuts per kg, 114 grams of hex nuts per box, 28.4 grams of hex nuts, and the average mass of one piece of a hex nut is 1.14 grams]

Number of hex nuts per box = 100 pieces of hex nuts

25,000 hex nuts = 2500 boxes

Explanation:

Here, we have 1 kg of hex nuts = 8.77 boxes

114 grams of hex nuts = 1 box

1.14 grams = 1 hex nut

Therefore

25,000 hex nuts weighs 25000 × 114 = 28500 grams = 28.5 kg

1 kg = 8.77 boxes

1 box of hex nuts weighs 1000/8.77 = 114.025 grams

Since one hex nut weighs 1.14 grams, therefore, there are

114.025/1.14 = 100.022 ≈ 100 hex nuts per box

Therefore, 2850 kg = 8.77 boxes/kg × 28.5 kg = 249.945 boxes ≈ 250 boxes.