Answer:
cost of a chicken $7.25
cost of a duck $4.25
Step-by-step explanation:
Let c represent chickens and d represent ducks
50 chicken + 3 ducks = $550 ➡ 50c + 30d = $550
44 chicken + 36 ducks = $532 ➡ 44c + 36d = $532
Now find the difference of equations
(50c + 30d) - (44c + 36d) = $550 - $532
6c - 6d = $18
6×(c-d) = $18 divide both sides by 6
c - d = $3 Now we can use this information to find the cost of a chicken and duck
50c + 30d = $550
c - d = $3 multiply second equation by 30
30 × (c-d) = $3 ➡30c - 30d = $30
Now add this new equation we found to the very first equation
30c - 30d + 50c + 30d = $550 + $30 (-30d will eliminate 30d)
80c = $580 divide both sides of the equation by 80
<em>c = $7.25 </em>
We know that c - d = 3 so now replace c by $7.25 the price we just found
$7.25 - d = $3
$7.25 - $3 = d
<em>$4.25 = d</em>
