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The population of a village is 11000. If the number of children increase by 11% and the number of…

Let the number of children be c and adults be 11000 - c. Then \[1.11c+1.20(11000-c)=12660\] which gives \[-0.09c=-540\Rightarrow c=6000\] So there are 6000 children and 5000…

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The population of a village is 11000. If the number of children increase by 11% and the number of adults increase by 20%, the population becomes 12660. Find the population of children and adults separately in the village.

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Correct answer C

Let the number of children be c and adults be 11000 - c. Then 1.11c+1.20(11000−c)=126601.11c+1.20(11000-c)=12660 which gives −0.09c=−540⇒c=6000-0.09c=-540\Rightarrow c=6000 So there are 6000 children and 5000 adults.

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