im lost help please

Question

A store mixes Kenyan coffee worth $11 per kilogram and venezuelan coffee worth $14 per kilogram. The mixture is to sell for $12 per kilogram. Find how much of each should be used to make a 288-kilogra mixture.

Answer 1

the coffee should be 2/3 Kenyan and 1/3 Venezuelan

[(2X11) +(1X14)]=36  AND 12x3=36

 

2/3 x 288 = 192 kg Kenyan

1/3 x 288 = 96 kg Venezuelan

Answer 2

Let the amount of Kenyan coffee be "K" and the amount of Venezuelan coffee be "V." The K + V = 288, or

K = 288 - V.

 

The cost of the Kenyan coffee will be 11K and the cost of the Venezuelan coffee will be 14 V. The sum of these costs will be 12(288), or

                                          11K + 14V = 12(288) and since K = 288 - V, then

 

                                                 11(288 - V) + 14V = 12(288)    and

 

                                                                        3V = 288    or

 

                                                                          V = 96 kg. and

                                                                  K = 288 - V = 288 - 96 = 192 kg. 

Answer 3

Hi Jhnaesha;

Kenyan value....$11/kg

Kenyan weight...x kg

Venezuelan value...$14/kg

Venezuelan weight...(288-x) kg

mixture value....$12/kg

mixture weight...288 kg

($12/kg)(288 kg)=[($11/kg)(x kg)]+[($14/kg)((288-x)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)((288-x)kg)]

($12)(288)=[($11)x]+[($14)(288-x)]

The unit of $ is in the numerators of all facets of the equation.  It cancels...

(12)(288)=(11x)+[(14)(288-x)]

Now that the units are aligned, we may calculate...

3456=11x+4032-14x

3456=-3x+4032

Let's subtract 4032 from both sides...

3456-4032=-3x+4032-4032

-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...288-192=96 kilograms