SOLUTION: I have a word problem that I cannot figure out. Problem is: The Nature Center sells bird seed for 75 cents per pound and sunflower seed for $1.10 per pound. To the nearest

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Question 184025This question is from textbook Hubbard Robinson Algebra
: I have a word problem that I cannot figure out.
Problem is:
The Nature Center sells bird seed for 75 cents per pound and sunflower seed for $1.10 per pound. To the nearest pound, how many pounds of sunflower seed should be used to create a 50-pound mixture that sells for $0.90 per pound.
I have tried the following: 1.10x+.75x = .90(50) and 1.10x+.75x = .90(50+2x).
The first one came close to the answer but still not the answer.
Thank you,
Rodney Clifton
This question is from textbook Hubbard Robinson Algebra

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
The Nature Center sells bird seed for 75 cents per pound and sunflower seed for $1.10 per pound. To the nearest pound, how many pounds of sunflower seed should be used to create a 50-pound mixture that sells for $0.90 per pound.
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Equation:
value + value = value
75x + 110(50-x) = 90*50
75x + 110*50 - 110x = 90*50
-35x = -20*50
x = 28.57 lbs (amt. of 75 cent seed in the mixture)
50-28.57 = 21.43 lbs. (amt of $1.10 seed in the mixtue)
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Cheers,
Stan H.