How to Find Weight of Bolt and Number of Nuts and Bolts that can be Made

What is the weight of the bolt and how many nuts and bolts can be made from 206kg of iron?

Given data:

Weight of nut alone: 83/8 grams

Total weight of bolt and nut: 103/4 grams

Total weight of iron available: 206kg

Answer:

The weight of the bolt is 2.5 grams.

We can make 65,600 sets of bolts and nuts from 206kg of iron.

To find the weight of the bolt, we need to subtract the weight of the nut from the total weight of the bolt and nut. The weight of the nut alone is 83/8 grams. The total weight of the bolt and nut together is 103/4 grams.

Subtracting the weight of the nut from the total weight:

103/4 - 83/8 = 20/8 = 2.5 grams

Now, to determine how many nuts and bolts can be made from 206kg of iron, we first convert the weight to grams as the given weights are in grams. 206kg is equal to 206,000 grams. The weight of one set containing one bolt and one nut is 103/4 grams, which is 25/8 grams.

Calculating the number of sets that can be made:

206,000 ÷ (25/8) = 65,600 sets