Question

The weight of gemstones, such as diamonds, rubies, and emeralds, is measured in carats. A carat is a unit of measure equal to 200 milligrams. One of the world’s most famous diamonds is the Hope Diamond, which weighs 44.5 carats. What’s the weight of the Hope Diamond in grams?

Answer 1

We are told in the question that 1 carat is equal to 200 mg.

The Hope Diamond is 44.5 carats. Let's multiply the weight of 1 carat by 44.5 to get the weight of the Hope Diamond in mg:

$\frac{200mg}{1 carat}* \frac{44.5 carats}{1}=8,900 mg$

The total weight of the Hope Diamond is 8,900 mg. However the question asks for the weight in grams. There are 1000 mg in 1 gram, so let's divide the known weight of the Hope Diamond in mg by 1000 to get the weight converted to grams:

$\frac{8,900mg}{1000}=8.9grams$

Now we know that the weight of the Hope Diamond is equal to 8.9 grams.