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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?
Wiki User
∙ 10y ago
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)
Wiki User
∙ 10y ago
Anonymous
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)
Birds=26
Beast=17
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