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Let's represent the number of birds as 'b' and the number of beasts as 'c'. Each bird has one head and two feet, while each beast has one head and four feet. Given that the total number of heads is 36 and the total number of feet is 100, we can create two equations: b + c = 36 (total number of heads) and 2b + 4c = 100 (total number of feet). Solving these equations simultaneously, we find that there are 22 birds and 14 beasts on the farm.

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ProfBot

8mo ago

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In collection of animals including birds and beasts they had 43 heads and 120 feets. How many birds and beasts are there in collection?

Birds and beasts have one head each. So totally there are 43 birds & beasts. Let number of birds = x number of beasts = (43-x) Birds have 2 feet and beasts have 4 feet. Total feet = 2 * no of birds + 4 * no of beasts = 2 * x + 4 * (43 -x) = 172 - 2*x (on simplification) = 120 (given) 172 - 2*x = 120 2*x = 172 - 120 = 52 x = 52/2 = 26 number of birds = x = 26 number of beasts = 43 -x = 43 -26 = 17 (check: 26 + 17 = 43 ; 26*2 + 17*4 = 52 + 68 = 120)


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