Cow = x Chicken =y
x+y=34 -> x=34-y
4x+2y=100
4(34-y)+2y=100
126-4y+2y=100
-2y=-26
y=13 (13 chickens)
x=34-13=21 (21 cows)
There are 21 cows and 13 chickens.
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.
94 three legged cows and 25 chickens.
Chickens (H) + Cows (C) = 66 : so C = 66 - H However there are 2H chickens legs and 3C cows legs : 2H + 3C = 163 Substituting for C gives : 2H + 3(66 - H) = 163 : 2H +198 - 3H = 163 : H = 35. Number of chickens = 35 (and number of cows = 66 - 35 = 31)
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?
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.
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.
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.
There are 5 chickens and 6 pigs in the barn. Each chicken has 2 legs and each pig has 4 legs.
A cow has 4 legs; therefore, 4 legs times 8 cows equals 32. A chicken has 2 legs; therefore, 2 legs times 10 chickens equals 20. So, 8 cows have more legs than 10 chickens.
94 three legged cows and 25 chickens.
Chickens (H) + Cows (C) = 66 : so C = 66 - H However there are 2H chickens legs and 3C cows legs : 2H + 3C = 163 Substituting for C gives : 2H + 3(66 - H) = 163 : 2H +198 - 3H = 163 : H = 35. Number of chickens = 35 (and number of cows = 66 - 35 = 31)
There are 40 animals in a farm cows and chickens and the total legs is 100 and the answer is 30 chickens and 10 cows. Use Guess and Check Method. No of Cows No of Chickens Total number of Legs Total number of animals Check 20 × 4 = 80 20 x 2 = 40 120 40 X 15 x 4 = 60 25 x 2 = 50 110 40 X 10 x 4 = 40 30 x 2 = 60 100 40 √ There are 10 cows and 30 chickens in the farm.
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?
This can be done in your head: If all animals were cows there would be 321 legs. Every cow replaced by a chicken reduces this figure by one.The total reduction is 97 (321 - 224) so there are 97 chickens (and 10 cows)Check legs: (97 x 2) + (10 x 3) = 194 + 30 = 224. QED
The 2 monkeys each have 2 legs, so a total of 4 legs. The 4 pigs each have 4 legs, so a total of 16 legs. The 3 chickens each have 2 legs, so a total of 6 legs. In total, the monkeys, pigs, and chickens have 26 legs.