Question

The largest single rough diamond ever found, the Cullinan Diamond, weighed 3106 carats. One carat is equivalent to the mass of 0.20 grams. What is the weight in pounds?

Answer 1

We have

3106 carats

1 carat = 0.20 grams

First, we need to convert to grams

x= the number of grams of 3106 carats

$x=\frac{3106\cdot0.20}{1}=621.2\text{ grams}$

1 pound = 453.60 grams

y= the number of pounds of 621.2 grams

$y=\frac{621.2\cdot1}{453.60}=1.369=1.37\text{ pounds}$