Answer:
The weight of 1 duck = 12 Kg and weight of 1 chicken is 10 Kg.
Step-by-step explanation:
Let the weight of one duck = x
Let the weight of one chicken = y
The weight of 3 ducks and 4 chicken is 76 kg
[tex]\[=>3x+4y=76\][/tex] ----- (1)
The weight of 4 ducks and 3 chicken is 78 kg
[tex]\[=>4x+3y=78\][/tex] ------- (2)
Let us multiply equation (1) by 4 and equation (2) by 3
[tex]\[12x+16y=304\][/tex] ------ (3)
[tex]\[12x+9y=234\][/tex] ------ (4)
Subtracting (3) and (4) :
[tex]\[7y=70\][/tex]
[tex]\[y=10\][/tex]
Substituting the value of y in (1):
[tex]\[=>3x+ (4 \times 10)=76\][/tex]
[tex]\[=>3x=76-40\][/tex]
[tex]\[=>x=12\][/tex]
So the weight of 1 duck = 12 Kg and weight of 1 chicken is 10 Kg.
