Question

The top three corn producers in the world-country A, country B, and country C-grew a total of about 676 million metric tons (MT) of con in 2014 The country A produced 60 million MT more than the combined production of country B and country C Country B produced 122 million MT more than country C. Find the number of metric tons of com produced by each country The country Aproduced□minon MT ofcorn, the country B produced The country A producedmilsion MT of corn, the country B produced mition MT of corn, and the country C produced million MT of corn mati on MT of corn, and the country Cproduced□ma on MT of corn

Answer 1

x = 368 production of country A (millions of (MT)

y = 215 production of country B (millions of (MT)

z = 93 production of country C (millions of (MT)

Explanation:

Let call production as follows

Country A production x millions on MT

Country B production y millions on MT

Country C production z millions on MT

Then according to problem statement

x + y + z = 676 (1)

x = 60 + y + z

y = 122 + z

That system ( 3 equations and three unknown varables ) could be solved by any of the available procedures.

By subtitution we get

x = 60 + 122 + z + z ⇒ x = 182 + 2*z

And

182 + 2*z + 122 + z + z = 676

Solving for z

304 + 4*z = 676 ⇒ 4*z = 676 - 304 ⇒ 4*z = 372

z = 372/4 ⇒ z = 93 millions of (MT)

And

y = 122 + z ⇒ y = 122 + 93 ⇒ y = 215 millions of (MT)

x = 182 + 2*z ⇒ x = 182 + 2 ( 93) ⇒ x = 182 + 186

x = 368 millions of (MT)

We can cheked in equation 1

x = 368

y = 215

z = 93

Give a total of 676 millions of (MT)