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 cost $7.41

A duck cost $6.55

Explanation:

Let x= price of chicken

And y= price of duck

Last month sales

50x + 30y= $550

This month sales

44x + 36y =$532

From last month sales

50x= $550-30y

x= $550-30y/50

Substitute x into this month sales

44($550-30y/50) - 36y =$532

Divide 44 and 50 by 2

22($550-30y/25) - 36y= $532

Open bracket

($12,100 - 660y)/25 - 36y = $532

Multiply

($12,100 - 660y) - 900y = $532

$12,100 - 660y -900y= $532

$12,100 - 1560y= $532

-1560y = $532 - $12,100

-1560y = $-11,568

Divide both sides by 1,560

y=$ -11,568/1,560

y=$ 7.41

Substitute the value of y into last month sales

50x + 30y = $550

50x + 30(7.4) = $550

50x + 222.6 = $550

50x = $550-222.6

50x=$327.4

Divide both sides by 50

x= $327.4/50

x=$6.55

if you use only 25 for your entertainment and only 200 for the groceries that you really need and take out the 50 per month for the computer then that should be enough

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