What is the cost of each chicken and what is the cost of each duck

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

56.6

step-by-step explanation:

the ratio of the perimeters is equal to the scale.

the ratio of the areas is equal to the square of the scale.

34 / 20 = k

a / 19.6 = k²

substituting:

a / 19.6 = (34 / 20)²

a = 19.6 (34 / 20)²

a ≈ 56.6