Question 15

There are some cows and ducks. The total number of legs is equal to 14 more than twice the number of heads. The number of cows is

Solution

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With $$c$$ cows and $$d$$ ducks, legs $$=4c+2d$$ and heads $$=c+d$$, so $$4c+2d=2(c+d)+14$$, which simplifies to $$2c=14$$, giving $$c=7$$.

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