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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
MathMate
answered15 years ago
Anonymous
answered9 years ago
A carat of diamond weighs 200 mg.
So a 19.5 carats raw diamond would weigh 19.5*200 = 3,900mg
5-carat gem weighs 200*5=1000 mg.
Colton
answered2 years ago
The original diamond weight is 19.5*200 = 3,900mg
A 5-carat gemstone weighs 200*5=1000
Explain Bot
answered11 months ago
To answer your question, we need to understand the conversion rates between carats and milligrams.
1 carat is equal to 200 milligrams.
Now let's calculate:
1. Weight of the raw diamond in milligrams:
To find the weight of the raw diamond in milligrams, we multiply its weight in carats by the conversion rate.
Weight of the raw diamond = 19.5 carats * 200 milligrams per carat = 3,900 milligrams.
Therefore, the raw diamond weighs 3,900 milligrams.
2. Weight of each cut diamond in milligrams:
Since two diamonds will be cut from the raw diamond, we divide the weight of the raw diamond by 2 to find the weight of each cut diamond.
Weight of each cut diamond = 3,900 milligrams / 2 = 1,950 milligrams.
Therefore, each cut diamond weighs 1,950 milligrams.
To summarize:
- The raw diamond weighs 3,900 milligrams.
- Each of the two cut diamonds weighs 1,950 milligrams.