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Here's how to solve it...

If the land mass of the earth is 1:2 that means one part land to two parts water.... or 1/3 land and 2/3 water.

The northern hemisphere is 2:3 means 2/5 land and 3/5 water.

Getting a common denominator

WORLD: 5/15 land and 10/15 water

NORTH: 6/15 land and 9/15 water

now divide north by two

WORLD: 10/30 land and 20/30 water

NORTH: 6/30 land and 9/30 water

Subtract North From World:

Difference 4/30 land and 11/30 water

That comes out to 4:11 and if you divide by 4 it is 1:2.75

Congratulations! You were correct!

Good Luck

If half of the world is land, then you would expect 1/2 or 3/6 of the northern hemispehere to be land. But in fact 2/3 or 4/6 are - an additional 1/6.

To balance this in the southern hemisphere the ratio must be 1/6 less at 2/6 or 1/3.

So the ratio is 1:3 in the south.

Let the earth be divided into 30 parts.

10 parts are land and 20 parts are water. (1:2)

In northern hemisphere total parts are 15.

6 parts are land and 9 parts are water (2:3)

Therefore in Southern hemisphere,

Parts of land is 10 - 6 = 4 and

Parts of water are 20 - 9 = 11.

The ratio of land to water is 4/11.

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The reason for choosing 30 is given below.

Ratio of land to water on whole earth is

½ = (1/3) divided by (2/3). (3 because 2+1 =3)

Similarly

Ratio of land to water on N-hemisphere is

2/3 = 2/5 divided by 3/5. {5 because 3+2 =5}

30 can be divided by 2, 3 and 5.

In the north:

land is 2/5 , water is 3/5

total:

land 1/3

water 2/3

Let A be the area of one hemisphere.

(2A/5 +LA )/(3A/5+WA) = 1/2

where L is the fraction of land in the south, and W is the fraction of water in the south.

Solve for L/W the ratio of land to water in the south

1:3 when you add 1:3 to 2:3 you get 3:6 which is equal to 1:2

It is impossible to have 4/3 of the earth covered in water.

idk