c+h=77
2c+4h=216
c=77-h from equation one.
2(77-h)+4h=216 from substitution.
154-2h+4h=216 simplification.
2h=62 addition property of equlity.
h=31 multiplication property of equality.
c=46 addition property and substitution.
CHECK: 2(46)+4(31)=216
92+124=216
216=216
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?
There are 61 horses and 10 chickens on the farm.
there are 36 horses and 23 chickens.........
There are 42 chickens in the farm.
85 chickens
27
50 horses and 10 chickens
If all were horses there would be 428 legs. The shortfall of 36 legs represents 18 chickens so there are 89 horses.
If all were horses there would be 4 x 61 ie 244 legs. There is a shortfall of 50 legs ie 25 less four-legged creatures, so there are 36 horses and 25 chickens, giving 144 + 50 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.
Answer : 33 horses. Number of Horses (H) + Number of Chickens (C) = 45 therefore C = 45 - H There are 4H horse legs and 2C chicken legs so, 4H + 2C = 156 substituting for C gives :- 4H + 2(45 - H) = 156 4H + 90 - 2H = 156 2H = 156 - 90 = 66 H = 33 There are 33 horses (and 45 - 33 = 12 chickens)
94 three legged cows and 25 chickens.