Question

Michael breeds chickens and ducks. Last month, he sold 5 0 5050 chickens and 3 0 3030 ducks for $ 5 5 0 $550dollar sign, 550. This month, he sold 4 4 4444 chickens and 3 6 3636 ducks for $ 5 3 2 $532dollar sign, 532. How much does a chicken cost, and how much does a duck cost?

Answer 1

x-chickens
y-ducks
Last month: 50x+30y=$550
This month: 44x+36y=$532
50x+30y=550;/10⇒5x+3y=55⇒5x=55-3y⇒x=11-3/5y
44x+36y=532;

x=11-3/5y
44*(11-3/5y)+36y=532⇒484+9.6y=532⇒9.6y=48

x=11-3/5y
9.6y=48⇒y=48/9.6⇒y=5
x=11-(3/5)*5⇒x=8

Cost of chicken is 8$ and cost of duck is 5$.