Country A produces about 7 times the amount of diamonds in carats produce in Country B. If the total | MathCelebrity Forum

Country A produces about 7 times the amount of diamonds in carats produce in Country B. If the total

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Country A produces about 7 times the amount of diamonds in carats produce in Country B. If the total produced in both countries is 40,000,000 carats, find the amount produced in each country.

Set up our two given equations:
  1. A = 7B
  2. A + B = 40,000,000
Substitute (1) into (2)
(7B) + B = 40,000,000

Combine like terms
8B = 40,000,000

Divide each side by 8
B = 5,000,000

Substitute this into (1)
A = 7(5,000,000)
A = 35,000,000
 
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