The diamonds produced by country A and B are 24,000,000 and 4,000,000 carats respectively.
Here, we are given that Country A produces about six times the amount of diamonds in carats produced in country B.
Let the diamonds produced by country B be x
Then, the diamonds produced by country A will be 6x
The total diamonds produced by the two countries = 28,000,000
Thus, we can get the following equation-
x + 6x = 28,000,000
7x = 28,000,000
x = 28,000,000/ 7
x = 4,000,000
⇒ 6x = 24,000,000
Thus, the diamonds produced by country A and B are 24,000,000 and 4,000,000 carats respectively.
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