Question

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?

Answer 1

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