Answer:
Each Chicken costs $8 and each duck costs $5
Step-by-step explanation:
Say chicken is c and duck is d
50c + 30d = $550 ........................eqn 1
44c + 36d = $532 .........................eqn 2
Multiply eqn 1 by 44 and eqn 2 by 50, we will have
(50c + 30d = $550) × 44
(44c + 36d = $532) × 50
2200c + 1320d = $24200 ...........eqn 3
2200c + 1800d = $26600 ...........eqn 4
Subtract eqn 3 from eqn 4 and we will have
480d = $2400
Dividing all through by 480 and we will have
d = $2400/480
d = $5
Which means each duck costs $5
To calculate the cost of chicken, substitute $5 for d in any of the eqns
50c + 30d = $550
50c + 30($5) = $550
50c + $150 = $550 , collect like terms and we will have
50c = $550 - $150
50c = $400 divide both sides by 50, and we will have
c = $8
Therefore chicken costs $8 each
