SOLUTION: A merchant blends tea that sells for $4.60 a pound with tea that sells for $2.35 a pound to produce 50 lb of a mixture that sells for $3.25 a pound. How many pounds of each type of

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Question 366389: A merchant blends tea that sells for $4.60 a pound with tea that sells for $2.35 a pound to produce 50 lb of a mixture that sells for $3.25 a pound. How many pounds of each type of tea does the merchant use in the blend?
Found 2 solutions by nyc_function, stanbon:
Answer by nyc_function(2741) About Me  (Show Source):
You can put this solution on YOUR website!
4.60x + 2.35x = 3.25(2x + 5)

Can you take it from here?

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A merchant blends tea that sells for $4.60 a pound with tea that sells for $2.35 a pound to produce 50 lb of a mixture that sells for $3.25 a pound. How many pounds of each type of tea does the merchant use in the blend?
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Quantity: x + y = 50 lbs
Value:::4.60x+2.35y = 3.25*50
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Multiply thru 1st by 235.
Multiply thru 2nd by 100.
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235x + 235y = 235*50
460x + 235y = 325*50
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Subtract 1st from 2nd and solve for "x":
225x = 90*50
x = 20 lbs (amt of 4.60 tea needed in the mix)
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y = 30 lbs (amt of 2.35 tea needed in the mix)
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Cheers,
Stan H.