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soldi70 [24.7K]
3 years ago
9

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

Mathematics
2 answers:
zimovet [89]3 years ago
7 0

Answer: $8 chicken $5 duck

Step-by-step explanation:

50x+30y=550

x=8

y=5

400+150=550

uysha [10]3 years ago
4 0

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

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Step-by-step explanation:

Mid-segment Theorem of a triangle states that the Mid-segment in a triangle is half of the third side of the triangle.

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