Hi Jhnaesha;
Kenyan value....$11/kg
Kenyan weight...x kg
Venezuelan value...$14/kg
Venezuelan weight...(288x) kg
mixture value....$12/kg
mixture weight...288 kg
($12/kg)(288 kg)=[($11/kg)(x kg)]+[($14/kg)((288x)kg)]
The unit of kg is in the numerators and denominators of all facets of the equation. It cancels...
($12/kg)(288 kg)=[($11/kg)(x kg)]+[($14/kg)((288x)kg)]
($12)(288)=[($11)x]+[($14)(288x)]
The unit of $ is in the numerators of all facets of the equation. It cancels...
(12)(288)=(11x)+[(14)(288x)]
Now that the units are aligned, we may calculate...
3456=11x+403214x
3456=3x+4032
Let's subtract 4032 from both sides...
34564032=3x+40324032
576=3x
Let's divide both sides by 3...
576/3=(3x)/3
A negative number divided by a negative number has a positive result...
192=x
Kenyan weight...192 kilograms
Venezuelan weight...288192=96 kilograms
2/17/2014

Vivian L.