Hi
Country A produces about six times the amount of diamonds in carots produced in Country B.
Let x and 6x represent amount for Country B and Country A respectively
Question states***
x + 6x = 14,000,000
7x = 14,000,000
x = 2,000,000 carots produced in country B and 12,000,000 carots in Country A (6x)
CHECKING our Answer***
2,000,000 + 12,000,000 = 14,000,000