i need some help on this question

a diamond cutter has a raw diamond that weighs 19.5 carats and from which two 5-carat diamonds will be cut.

i need to find out how much the raw diamond weigh in milligrams and plus how much will each of the two cut diamonds weigh in milligrams

A carat of diamond weighs 200 mg.

So a 5-carat gem weighs 200*5=1000 mg.

To find out the weight of the raw diamond in milligrams, we need to know the conversion factor from carats to milligrams.

1 carat = 200 milligrams

Now let's calculate the weight of the raw diamond in milligrams:

Raw diamond weight in milligrams = 19.5 carats * 200 milligrams/carat
= 3900 milligrams

So, the raw diamond weighs 3900 milligrams.

Next, we need to find out how much each of the two cut diamonds will weigh in milligrams. Since each cut diamond is going to be 5 carats, we can use the same conversion factor:

Cut diamond weight in milligrams = 5 carats * 200 milligrams/carat
= 1000 milligrams

Therefore, each of the two cut diamonds will weigh 1000 milligrams.