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.

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opudodennis opudodennis · Answer 1 · 2019-12-20T20:32:34+01:00

Answer:

chicken is $8 while that of ducks is $5

Step-by-step explanation:

Let the cost of chickens and ducks be represented by x and y respectively hence the equations are

50x+30y=550

44x+36y=532

The first equation can be written as

5x+3y=55

x=(55-3y)/5=11-0.6y

Substituting the equation for x into the second equation

44(11-0.6y)+36y=532

484-26.4y+36y=532

36y-26.4y=532-484

9.6y=48

y=48/9.6=5

Therefore, since x=11-0.6y

x=11-(0.6*5)=11-3=8

Therefore, cost of chicken is $8 while that of ducks is $5