SOLUTION: A store mixes a Brazilian coffee worth worth $12 per kilogram and a Venezueluen coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram. Find out how much of eac

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Question 312904: A store mixes a Brazilian coffee worth worth $12 per kilogram and a Venezueluen coffee worth $16 per kilogram. The mixture is to sell for $13 per kilogram. Find out how much of each should be used to make a 384-kilogram mixture.
I honest to God have no idea how to even start
Found 2 solutions by mananth, josmiceli:
Answer by mananth(16946) (Show Source):
You can put this solution on YOUR website!
brazil coffee $12
let quantity to be mixed be x kgs
.
Venezuela coffee $16 quantity will be 384-x. ( the balance )
..
The mixture is $13 quantity 384 kg.
..
Cost of brazil coffee + cost of Venezuela coffee = cost of mixture
..
12x +16(384-x)=384*13
12x +6144 -16x =4992
-4x=4992-6144
-4x=-1152
x=-1152/=4
=288 kgs brazil coffee
Balance will be venezuela coffee 96 kgs
..

Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website!
Let = kilograms of Brazilian coffee needed
Let = kilograms of Venezuelan coffee needed
---------------------
given:
= cost of Brazilian coffee in mixture
= cost of Venezuelan coffee in mixture
= cost of mixture
---------------------
Now I can rite these equations:

(1)
(2)
Multiply both sides of (2) by and
subtract from (1)
(1)
(2)

and, since

288 kg of Brazilian coffee and 96 kg of Venezuelan coffee are needed