SOLUTION: The top three corn producers in the world​ - country​ A, country​ B, and country C​ - grew a total of about 669 million metric tons​ (MT) of corn in 2

Algebra ->  Equations -> SOLUTION: The top three corn producers in the world​ - country​ A, country​ B, and country C​ - grew a total of about 669 million metric tons​ (MT) of corn in 2      Log On


   

Question 1114949: The top three corn producers in the world​ - country​ A, country​ B, and country C​ - grew a total of about 669 million metric tons​ (MT) of corn in 2014. The country A produced 75 million MT more than the combined production of country B and country C. Country B produced 169 million MT more than country C. Find the number of metric tons of corn produced by each country.  
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
system%28A%2BB%2BC=669%2CA-B-C=75%2CB-C=169%29
Three linear equations in three unknown variables.
Any solution method you want or need.

Notice what happens if you add corresponding members of the first two equations. This quickly gives you the value of A.

-
%28A%2BB%2BC%29%2B%28A-B-C%29=669%2B75
2A=744
highlight%28A=372%29

system%28B%2BC=297%2CB-C=169%29
2B=466
highlight%28B=233%29
highlight%28C=64%29