Question

country a produces about nine times the amount of diamonds in carats produced in country b. if the total produced in both countries is 10,000,000 carats, find the amount produced in each country. country a produces \square carats. country b produces \square carats.

Explanation:

Step1: Define variables

Let the amount of diamonds produced in Country B be $x$ carats. Then the amount produced in Country A is $9x$ carats.

Step2: Set up equation

The total production of both countries is the sum of their individual productions, so $x + 9x = 10000000$.

Step3: Solve for $x$

Combine like terms: $10x = 10000000$. Divide both sides by 10: $x=\frac{10000000}{10}=1000000$.

Step4: Find production of each country

For Country B, it's $x = 1000000$ carats. For Country A, it's $9x = 9\times1000000 = 9000000$ carats.

Answer:

Country A produces 9000000 carats.
Country B produces 1000000 carats.