The ratio of land to water for Earth as a whole is 1:3, and it is 2:5 in the Northern hemisphere. If the areas of the Northern and the Southern hemispheres are equal, then the ratio of land to water in the Southern hemisphere is:
3:11
Let each hemisphere's area be x, so total Earth area is 2x. Overall land:water = 1:3 means land = \(\tfrac14\times2x = \tfrac{x}{2}\) and water = \(\tfrac{3x}{2}\).
Northern land:water = 2:5 means Northern land = \(\tfrac27x\) and Northern water = \(\tfrac57x\).
Southern land: \(\tfrac{x}{2}-\tfrac{2x}{7} = \tfrac{7x-4x}{14} = \tfrac{3x}{14}\). Southern water: \(\tfrac{3x}{2}-\tfrac{5x}{7} = \tfrac{21x-10x}{14} = \tfrac{11x}{14}\).
Ratio: \(\tfrac{3x}{14}:\tfrac{11x}{14} = 3:11\).
Hence, the ratio of land to water in the Southern hemisphere is 3:11.
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Important Questions from Ratio and Proportion
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A person divides a certain amount among his three sons in the ratio of 3 ∶ 4 ∶ 5. If he had divided this amount in the ratio of 1/3,1/4,1/5, his son, who had got the lowest share earlier, would get Rs.1,188 more. Find the amount (in Rs).
In a school 3/8 of the number of students are girls and the rest are boys. One-third of the number of boys are below 10 years and 2/3 the number if girls are also below 10 years. If the number of students of age 10 or more years is 260. then the number of boys in the school is:
If a : b : c = \(\frac{1}{4} : \frac{1}{3} : \frac{1}{2}, \) then \( \ \frac{a}{b} : \frac{b}{c} : \frac{c}{a} = ?\)
