SOLUTION: How many pounds of peanuts costing $3.00 a pound should be mixed with 4 pounds of cashews costing $4.50 a pound to obtain a mixture costing $3.50 a pound?

Question 917447: How many pounds of peanuts costing $3.00 a pound should be mixed with 4 pounds of cashews costing $4.50 a pound to obtain a mixture costing $3.50 a pound?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
How many pounds of peanuts costing $3.00 a pound should be mixed with 4 pounds of cashews costing $4.50 a pound to obtain a mixture costing $3.50 a pound?
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Equation::
value + value = value
3x + 4*4.5 = 3.5(x+4.5)
3x + 4*4.5 = 3.5x + 3.5*4.5
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0.5x = 0.5*4.5
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x = 4.5 lbs (amt. of $3.00 peanuts needed)
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Cheers,
Stan H.
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