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?

Question

Mathematics

Philip Hatfield

24 August, 15:12

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?

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Answers (1)

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Abbie Hendricks · 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$.