SOLUTION: A company wants to mix peanuts, which contain 20% protein, and cashews, which contain 30% protein, to make a trail mix. Suppose the company wants to make 2000 pounds of trail mix

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Question 360419: A company wants to mix peanuts, which contain 20% protein, and cashews, which contain 30% protein, to make a trail mix. Suppose the company wants to make 2000 pounds of trail mix that contains 27% protein. How many pounds of cashews must be used?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!

Hi,
Let x represent the amount of cashews , then (2000lb-x) will be the amount of peanuts
write as we read***
.20(2000lb - x) + .30x = .27(2000lb)
solve
.10x = .07*2000lb
x = 1400lb of cashews need to be used
checking our answer
120lb + 420lb = 540lb