SOLUTION: How many pounds of coffee that is 40% java beans must be mixed with 70 pounds of coffee that is 30% java beans to make a coffee blend that is 34% java beans? I got 40x+34(70-x)=

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Question 722065: How many pounds of coffee that is 40% java beans must be mixed with 70 pounds of coffee that is 30% java beans to make a coffee blend that is 34% java beans?
I got 40x+34(70-x)=30(70)
40x+2380-34x=2100
6x+2380=2100
6x=-280
x= -46.60
This just doesn't seem right to me...help????
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = pounds of the 40% java coffee. You already know 70 pounds of 30% java.

Target value is 34% java. highlight%28%2870%2A30%2Bp%2A40%29%2F%2870%2Bp%29=34%29. Solve for p.

You started with the wrong initial equation, or so is my guess. Carefully study the equation I just gave and see what result you take from it.

FOUND: I get about 46.7 pounds, or 46%262%2F3 pounds.