# A dull witted farmer decided to count sheep by first counting their legs . He counted 456 legs and reasoned that he had 113 sheep . Assuming each sheep had 4 legs , was he correct ?

$\mathrm{Given},\mathrm{each}\mathrm{sheep}\mathrm{has}4\mathrm{legs}\mathrm{and}\mathrm{total}\mathrm{number}\mathrm{of}\mathrm{legs}=456\mathrm{legs}\phantom{\rule{0ex}{0ex}}\mathrm{So},\mathrm{number}\mathrm{of}\mathrm{sheeps}=\frac{456}{4}=114\mathrm{sheeps}\phantom{\rule{0ex}{0ex}}\mathrm{Thus},\mathrm{farmer}\mathrm{was}\mathrm{not}\mathrm{correct}\mathrm{because}\mathrm{there}\mathrm{were}114\mathrm{sheeps}.$

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