James uses 1/3 of his land for growing strawberries, 1/4 for cheeses, 3/8 for vegetables and the remaining 9 hectares for oats. What is the total area of his land?
Answer: 216 hectares
Explanation
Let the total piece of land that he has be x hectares,
According to question, x/3 hectare land is used for strawberries, x/4 hectare for chesses, 3x/8 hectare for vegetables and 9 hectares for oats,
total land area= x
Therefore,
x = x/3 + x/4 + 3x/8 + 9,
taking x common,
1 = 1/3 + 1/4 + 3/8 + 9/x,
1 – (1/3 + 1/4 + 3/8) = 9/x,
1 – ((8 + 6 + 9)/24) = 9/x,
1 – (23/24) = 9/x,
1/24 = 9/x or x = 216 hectares
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