Question

The weight of diamonds and other precious gemstones is given in carats, where 1 carat = 200 mg. Using the conversion of 1 kg is about 2.2 lbs, estimate the weight in pounds of a 3108 carat diamond. Round to three decimal places

Answer 1

1 carat=200 mg=0.2 g=0.000440925 lb

1 kg=2.2lb

`3108\text{ carat}*\frac{0.000440925\text{ lb}}{1\text{ carat}}=1.370\text{ pounds}`