Well, well, well, looks like we've got a little math puzzle on our hands. If we let D be the number of ducks and C be the number of cows, we have the lovely equations D + C = 35 and 2D + 4C = 110. Solving this system of equations, we find that there are 15 ducks waddling around causing a ruckus in the yard.
No. of legs per animal: Duck - 2 Dog & Cat - 4 2 Ducks + 2 Dogs + 2 Cats = (2 * 2) + (2 * 4) + (2 * 4) = 4 + 8 + 8 = 20 legs
18 cats,22 birds and 36 dogs....
Heads: P + C = 24C = 24 - PLegs: 4P + 2C = 80Substitute, from heads: 4P + 2 (24 - P) = 804P + 48 - 2P = 802P = 32P = 16C = 24-P = 8====================Check:P + C = 16 + 8 = 244P + 2C = 4(16) + 2(8) = 64 + 16 = 80 yay!
Let c represent the number of chickens and p represent the number of pigs.Since chickens and pigs have one head each, 70 heads = c + p.Since chickens have 2 legs and pigs have 4 legs, 200 legs = 2c + 4p.Subtracting twice the first equation (140 = 2c + 2p) from the second, we get60 = 2porp = 30 pigsRewriting the first equation as c = 70 - p, we get c = 40 chickens.
200 arms and 200 heads
7 cows and 11 chickens. Cows have 4 legs. Chickens have 2 legs. (4 legs)(7 cows) + (2 legs)(11 chickens) = 50 legs. 7 cow heads = 11 chicken heads = 18 heads.
Ducks have 2 legs.
8 emus have 16 legs and 6 cows have 24 legs.
Suppose there are x chickens and y cows Then heads => x + y = 64 And Legs => 2x + 3y = 147 2*Heads: 2x +2y = 128 Subtract from Legs: 19 = y Substitute in Heads: x = 45 Answer: 45 chickens.
ducks have 2 legs ducks have 2 legs
On a farm there are chickens and three-legged-cows. There are total of 49 heads and 130 legs. How many chickens are on the farm?
Let G be the number of goats and D be the number of ducks. We can set up a system of equations based on the number of heads and legs: G + D = 99 (from heads) and 4G + 2D = 296 (from legs). Solving this system of equations, we find that there are 33 goats and 66 ducks.
94 three legged cows and 25 chickens.
51 horses of which there are 3 cows with 2 heads and three legs or since there are no 3 legged cows there are 60 horses
If all animals were horses there would be 4 x 59 ie 236 legs. There is a shortage of 25 legs so there are 25 cows (and 34 horses).
Do-it-in-your-head method: If all animals were chickens there would be 96 legs. There are 26 extra legs, each on a cow, so there are 26 cows and therefore 22 chickens.
8 cows (They all have 2 legs)