Answer:
Country A produces 20,000,000 & Country B produces 5,000,000
Step-by-step explanation:
Let
amount of diamonds produced by country A be x
and
amount of diamonds produced by country B be y
Since, Country A produces 4 times that of Country B, we can write:
x = 4y
Also, both countries produces a total of 25,000,000 carats, so we can write:
x + y = 25,000,000
Now, we need to find x and y. Putting 1st equation into 2nd equation, we get equation in y. Then we solve for y:
x + y = 25,000,000
4y + y = 25,000,000
5y = 25,000,000
y = 25,000,000/5
y = 5,000,000
And now, x = 4y, so x = 4(5,000,000) = 20,000,000
So Country A produces 20,000,000 & Country B produces 5,000,000 diamond carats
