Given :
Lin has a pet German shepherd that weighs 38 when measured in one unit and 84 when measured in a different unit.
To Find :
Which measurement is in pounds, and which is in kilograms.
Solution :
We know, mass in kg and pounds are related as :
[tex]m_P = 2.2m_{kg}[/tex]
Putting, [tex]m_{kg}=38[/tex] and [tex]m_P=84[/tex] , we get :
LHS = 84
RHS = 2.2 × 38 = 83.6 ≈ 84
Since, LHS = RHS .
Therefore, 38 units is Kg and 84 units in Pounds.
Hence, this is the required solution.