In a caravan, in addition to 40 hens there are 55 goats and 12 camels with some keepers. If the total number of feet be 268 more than the number of heads, find the number of keepers.

In a caravan, in addition to 40 hens there are 55 goats and 12 camels with some keepers. If the total number of feet be 268 more than the number of heads, find the number of keepers. Correct Answer 15

Let the number of keepers be x. Total number of heads = 40 + 55 + 12 + x = 107 + x. Total number of legs = 40*2 + 55*4 + 15*4 + x*2 = 2x + 360. By data, (2x + 360) – (107 + x) = 268 ? x = 15. Hence, the number of keepers is 15.

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