Lambs! Alert!

Algebra Level pending

At a certain time in the farm, the number of heads and the number of legs of lambs and human visitors were counted and it was found that there were 39 heads and 132 legs. Find the number of lambs


The answer is 27.

Syed Hamza Khalid by Syed Hamza Khalid , 17, France

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1 solution

If we assume, that all humans have 2 legs and all lambs have 4 legs (no missing limbs), then we can determine the number of lambs by calculating the number of legs as if all visitors were humans:

39 × 2 = 78

Now, the number of "extra" legs:

132 - 78 = 54

Since each lamb has 2 more legs than any of the human visitors. the number of lambs in the farm is:

54 2 = 27 \frac{54}{2}=27

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