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
Mar 22, 2018

I tried this:

Explanation:

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

from the first:

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