A farm has some cows, sheep and chickens. Last year the cows made up 60%, the sheep 25% and the chickens 15%. There was a decrease in the number of all three animals’ population over the year. Choose the possibilities for the change in their respective shares of the population— (i) % of cows decreased, % of sheep decreased, % of chickens decreased (ii) % of cows increased, % of sheep increased, % of chickens increased (iii) % of cows remained the same, % of sheep remained the same, % of chickens remained the same (iv) % of cows decreased, % of sheep increased, % of chickens remained the same (v) % of cows increased, % of sheep increased, % of chickens decreased.
The valid possibilities are (iii), (iv) and (v). Since individual shares must sum to 100%, they cannot all decrease (i) or all increase (ii) simultaneously. If all three populations drop by the same proportion, their shares remain unchanged (iii). If they decrease at different rates, some percentage shares will rise while others fall, making statements (iv) and (v) fully attainable.
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