Question

Michael breeds chickens and ducks.

Last month, he sold 50 chickens and 30 ducks for $550. This month, he sold 44 chickens and 36 ducks for
$532.
How much does a chicken cost, and how much does a duck cost?
A chicken costs S
a and a duck costs

Answer 1

50C + 30D = 550 -------(1)

44C + 36D = 532 -------(2)

(2) - (1)

6C - 6D = 18

Divide both Sides by 6

C - D = 3

C = (3 +D) ----------(3)

Substitute 3 in 1

50(3 +D) + 30D = 550

150 + 50D + 30D = 550

80D = 550 -150

80D = 400

D = 400÷80

D = 5

C = (3+ D) ----------(3)

C = 3+5

C = 8

Chicken costs $8.

Duck costs $5.