Solution
Step 1:
Let the number of carats produced by country B = x
Let the number of carats produced by country A = 6x
Step 2:
[tex]\begin{gathered} 6x\text{ + x = 28000000} \\ \\ 7x\text{ = 28000000} \\ \\ x\text{ = }\frac{28000000}{7} \\ \\ x\text{ = 4000000} \end{gathered}[/tex]Final answer
Country A produces 24000000 carats
Country B produces 4000000 carats