A store mixes Brazilian coffee worth $12 per kilogram and Turkish coffee worth $15 per kilogram. The mixture is to sell for $14 per kilogram. Find how much of each should be used to make a 444 kilogram mixture.

Question

A store mixes Brazilian coffee worth $12 per kilogram and Turkish coffee worth $15 per kilogram. The mixture is to sell for $14 per kilogram. Find how much of each should  be used to make a 444 kilogram mixture.

anonymous · Answer

put the number of kilos of turkish coffee as say $x$ making the amount of brazilian coffee $300-x$ since the total is 300

anonymous · Answer

the total dollars for the turkish coffee will be $14x$ and the total dollars for the brazilian will be $10(300-x)$ and  you want that to amount to $\$11\times 300=\$3300$ so you can set 
$$14x+10(300-x)=3300$$ and solve for $x$

anonymous · Answer

what would ne my next step

anonymous · Answer

I dont get it.

anonymous · Answer

i got 75 for an answer but it is wrong

anonymous · Answer

the first step is to set up the equation
if that is not clear, let me know where the confusion is
the second step is solving the equation, and that is just mechanics, no thinking involved

anonymous · Answer

ok first off the question asks 
"Find how much of each " so your answer has to be two numbers, not one

anonymous · Answer

to solve 
$$14x+10(300-x)=3300$$ first you have to remove the parentheses, by multiplying using the distributive law
you get 
$$14x+3000-10x=3300$$

anonymous · Answer

the next step is to combine like terms on the left i.e. subtract $14x-10x$ so you should get 
$$4x+3000=3300$$

anonymous · Answer

then subtract $3000$ from both sides giving $$4x+=300$$ and finally divide $$x=300\div4=75$$ so yes, the answer is $x=75$ meaning 75 pounds of turkish and the rest (225 pounds) of brazillian

anonymous · Answer

Oh ok that is where i messed up at.

anonymous · Answer

For what it's worth, I don't think this solution is correct.

It is unclear where the number "300 kg" entered the discussion, but this doesn't come from the problem... the total of the two types of coffee is 444 kg, not 300.

B + T = 444      <<-- total weight = # kg of Brazilian + # kg of Turkish

and 

12B + 15T = (14)(444)    <-- per kg price of Brazilian X qty B
                                              plus price of Turkish X qty T
                                              equals price $14 X total weight 444

Sub in B = 444 - T:

12(444-T) + 15T = (14)(444)
(12)444) - 12T + 15T = 14(444)
3T = 2(444) = 888

T = 296     <<--  and B = 444-T, so B = 148.
In other words, 296 kg of Turkish, 148 kg of Brazilian.

Check:
weight:  B+T = 148 + 296 = 444 kg total.
and price:  12(148) + 15(296) = 6216 which is equal to 444kg x $14/kg

anonymous · Answer

wow that is weird.
i am certain it was 300 at the start