Respuesta :
Answer:
The farmer has 45 chickens.
Step-by-step explanation:
Let x = number of chickens
Let (66-x) = number of pigs
Pigs have 4 legs = 4(66 - x)
Chickens have 2 legs = 2x
4(66-x) + 2x = 174
- distribute the 4 to the bracket
= 264 - 4x + 2x = 174
- move the x together
= -4x + 2x = 174 - 264
- add together
= -2x = -90
- divide both sides be -2
= x = 45 <-- number of chickens
number of pigs: 66 - x
66 - 45 = 21
just to check!
(45 x 2) + (21 x 4) = 174
Answer:
The farmer has 45 chickens
Step-by-step explanation:
Let the number of pigs = p
Let the number of chickens = c
Total animals = 66
p + c = 66 ---------------------(I)
c = 66 - p
A pig has 4 legs. so 'p' number of pigs has p*4 = 4p legs
A chicken has 2 legs. so 'c' number of pigs has c*2 = 2c legs
Total legs = 174
4p + 2c = 174 --------------------(II)
Substitute c = 66 -p in equation (II)
4p + 2(66 - p) = 174
4p + 2*66 - 2*p = 174
4p + 132 - 2p = 174
4p - 2p + 132 = 174 {Combine like terms}
2p + 132 = 174 {Subtract 132 from both sides}
2p = 174 - 132
2p = 42 {Divide both sides by 2}
p = 42/2
p = 21
Plugin p =21 in equation (I)
21 + c = 66
c = 66 -21
c = 45
The farmer has 45 chickens