Lizzy: A man divides 3 hectares of land evenly among his 8 sons. If every 750m^2 of this land can be used to make a profit of $500 from every 3 months of commercial farming, how much can each son make if they cultivate their share of the land for one year(1 hectare is equal to 10000 m^2)?.
Me: Hmmm, let me think. I think this is the detailed solution:
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There are 10000m^2 in each hectare, so 3 hectares contains 3 * 10000 = 30000m^2 of land. 30000m^2 is divided among 8 sons so each son will get 30000 / 8 = 3750m^2. In every 3750m^2, there are 3750 / 750 = 5 portions of 750m^2 areas of land. Each son can make 5 * $500 = $2500 every 3 months from cultivating their share. In one year there are 12 months so each son can make $2500 up to 12 / 3 = 4 times in a year. Each son can make a total of $2500 * 4 = $10000 in a year. Final answer: 10000.
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