A coffee shop mixes Brazilian coffee worth $5 per kilogram with Turkish coffee worth $8 per kilogram. The mixture is to sell for $7 per kilogram. How much of the Brazilian coffee should be used to make 300 kg of the mixture?

Question

anonymous · Answer

Well, let's first find out how much of each is needed for one kilogram.  What's the ratio needed to make $7 of coffee with the $5 and $8?

anonymous · Answer

idk

anonymous · Answer

Okay, well let's set this up.

x=Brazilian coffee
So,
300-x=kgs of Turkish coffee

x is $5 a kg. 
So, 5x dollars.

300-x kgs of Turkish coffee is $8 a kg.

So it's
8(300-x)dollars

Total value of mixture is
5x+8(300-x) dollars

We know that it's $7 per kgs
Value is 7*300=$2,100 

So, our final equation is
$$5x+8(300-x)=2100$$

Can you figure this out?

anonymous · Answer

Okay, so we need to find x, right?  The whole thing is $2,100.

Let's move all of the variables over to one side and the numbers to the other.
Can you do this?

anonymous · Answer

maybe

anonymous · Answer

Go ahead and try :) Or, do you have options to pick from?

anonymous · Answer

i dont have any options

anonymous · Answer

i just tried and i still have no idea

anonymous · Answer

Hmm... I don't know how to explain this to you :-/ 

Plug in 100 for x and see what you get

anonymous · Answer

idk i suck at this s***

anonymous · Answer

Replace every x with 100

anonymous · Answer

i did but i got a huge a** number wich is the wrong answer