The top three oil producers in the United States in a certain year were the Gulf of Mexico, Texas, and Alaska. The three regions were responsible for 64% of the United States oil production. The Gulf of Mexico and Texas combined for 47% of oil production. Texas produced 3% more than Alaska. What percent of United States oil production came from these regions?

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joaobezerra joaobezerra · Answer 1 · 2021-05-29T02:43:33+02:00

Answer:

27% of United States oil production came from Gulf of Mexico.

20% of United States oil production came from Texas.

17% of United States oil production came from Alaska.

Step-by-step explanation:

This question is solved by a system of equations.

I am going to say that:

Gulf of Mexico produced x%.

Texas produced y%.

Alaska produced z%.

The three regions were responsible for 64% of the United States oil production.

This means that:

[tex]x + y + z = 64[/tex]

The Gulf of Mexico and Texas combined for 47% of oil production.

This means that [tex]x + y = 47[/tex].

We use this to find z.

[tex]47 + z = 64[/tex]

[tex]z = 64 - 47 = 17[/tex]

17% of United States oil production came from Alaska.

Texas produced 3% more than Alaska.

Then:

[tex]y = z + 3 = 17 + 3 = 20[/tex]

20% of United States oil production came from Texas.

Gulf of Mexico

[tex]x + y = 47[/tex]

[tex]x = 47 - y = 47 - 20 = 27[/tex]

27% of United States oil production came from Gulf of Mexico.