Every person at a party of twenty eight people said hello to each of the other people at the party once. How many "hellos" were said at the party?
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.
C+P=26 2C+4P=70 Therefore C=26-P Therefore 2(26-P)+4P=70 Therefore 52-2P+4P=70 Therefore 52+2P=70 Therefore 2P=18 Therefore P=9 Therefore C+9=26 Therefore C=17 There are 17 chickens.
chickens chickens
Take P to be the number of pigs and C to be the number of chickens. Because both anamals have a head, the sum of C and P is 143, or C + P = 143 Because a chicken contributes 2 legs and a pig contributes 4, C times 2 plus P times 4 equals the total number of legs, or 2C + 4P = 478 divide this equation by 2 to get C +2P = 239 Subtract the first equation from this one P = 96 plug this into the first equation C + 96 = 143 C = 47 96 Pigs and 47 chickens
2c + 4p = 40 c + p = 13 so 2c + 2p = 26 so 2p =14 p = 7, c = 6 Check: 7 pigs = 28 legs, 6 chickens = 12 legs, total 40 legs. QED
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.
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?
85 chickens
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.
There are 42 chickens in the farm.
there are 36 horses and 23 chickens.........
35 pigs, 65 chickens
48 chickens 1 pig
There are 61 horses and 10 chickens on the farm.
27
If all were horses there would be 428 legs. The shortfall of 36 legs represents 18 chickens so there are 89 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.