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Q: In a yard there are ducks and cows If there are 35 heads and 110 legs. How many ducks are there?

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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.

13

On this farm there would be a total of 18 cows. There would also be 18 chickens, combining to make 36 heads and 104 legs.

Ducks have two legs.

ducks have 2 legs 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.

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?

94 three legged cows and 25 chickens.

Ducks have 2 legs.

Ducks have 2 legs.

Two ducks would have two legs each, or four legs in total.

8 cows (They all have 2 legs)

67

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.

Two ducks and two dogs have a total of how many legs?

Do-it-in-your-head method: If all animals were chickens there would be 90 legs. There are 20 extra legs, each on a cow, so there are 20 cows and therefore 25 chickens.

2 I think

D=duck P=pig D+P=19 2D+4P=52 Therefore there are 12 ducks and 7 pigs.

If all the animals were horses there would be 360 legs. There is a shortfall of 23 which means 23 cows and therefore 67 horses.

You are supposed to: 1) Write two equations, one for the number of heads (express it in terms of the number of cows and horses, which of course are expressed as variables), and one for the number of legs (also expressed as an equation in terms of the number of cows and horses. 2) Solve the two equations simultaneously.

Ducks have 2 legs.

About 200