Question 49185
Let D = the weight of 1 Duck.
Let d = the weight of 1 duckling.
From the problem description, you can write a system of equations.

1) 3D + 2d = 32  (3 Ducks (D) and (+) 2 ducklings (d) weigh 32 ounces.)
2) 4D + 3d = 44  (4 Ducks (D) and (+) 3 ducklings (d) weigh 44 ounces.)

To solve this system of equations, multiply equation 1) by 3 and equation 2) by -2, then add the two equations.

1a)  3(3D + 2d = 32) -> 1b) 9D + 6d = 96
2a) -2(4D + 3d = 44) -> 2b) -8D - 6d = -88  Add these two equations, 1b)+2b).
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........................D = 8  One Duck weighs 8 ounces. Now substitute this into equation 1) and solve for d.

1) 3(8) + 2d = 32
24 + 2d = 32  Subtract 24 from both sides of the equation.
2d = 8 Divide both sides by 2.
d = 4  One duckling weighs 4 ounces. 

Finally, 2 Ducks and 1 duckling = 2D + 1d = 2(8) + 1(4) = 16 + 4 = 20 ounces.