A Store mixes Brazilian coffee worth $12 per kg and Turkish coffee worth $15kg. A mixture of both sells for $14 per kilogram. How much of each does it take to make a 336 kg mixture?

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A Store mixes Brazilian coffee worth $12 per kg and Turkish coffee worth $15kg. A mixture of both sells for $14 per kilogram. How much of each does it take to make a 336 kg mixture?

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Answer 1 · 2018-03-22T13:05:36

I tried this:

Explanation:

Let us call the quantitities $b$ $b$ and $t$ $t$ for Brazlian and Turkish varieties to make one kilogram of mixture.
We get:
$b + t = 1$ $b+t=1$
and
$12 b + 15 t = 14$ $12b+15t=14$

from the first:

$b = 1 - t$ $b=1-t$
into the second:
$12 (1 - t) + 15 t = 14$ $12(1-t)+15t=14$
$12 - 12 t + 15 t = 14$ $12-12t+15t=14$
$3 t = 2$ $3t=2$
$t = \frac{2}{3} k g$ $t=2/3kg$
so:
$b = 1 - t = \frac{1}{3} k g$ $b=1-t=1/3kg$
So in one kilogram of mixture we have these quantitioes of the two varieties.
To make $336 k g$ $336kg$ of mixture we need:
$336 \cdot \frac{2}{3} = 224 k g$ $336*2/3=224kg$ of Turkish
$336 \cdot \frac{1}{3} = 112 k g$ $336*1/3=112kg$ of Brazilian

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A Store mixes Brazilian coffee worth $12 per kg and Turkish coffee worth $15kg. A mixture of both sells for $14 per kilogram. How much of each does it take to make a 336 kg mixture?

1 Answer

Explanation:

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