MATH SOLVE

6 months ago

Q:
# The top three corn producers in the world country a country be a country see grew a total of about 649 million metric tons of cord in 2014. The country A produced 83 million MT more than the combine production of country be in country see it. Country be produced 189000,000 MT more than country see. Find the number of metric tons of corn produced by each country.

Accepted Solution

A:

let country A produced x million metric tons of corn.
let country B produced y million metric tons of corn.
let country C produced z million metric tons of corn.
According to question
x+y+z=649...(i)
x=83+y+z...(ii)
y=189+z...(iii),
Putting (ii) in (i),we get
or,83+y+z+y+z=649
or,2y+2z=649-83$$ or,\:y+z=\left(\frac{566}{2}\right)=283 $$...(iv)
Replace y+z in(i),
x+283=649
x=649-283=366
replace y in (iv)
189+z=283
z=283-189=94
therefore y=283-94=189
So,
country A produced 366 million metric tons of corn.
let country B produced 189 million metric tons of corn.
let country C produced 94 million metric tons of corn.