Question 260655
A merchant blends tea that sells for $4.25 a pound with tea that sells for $1.95 a pound to produce 80 lb of a mixture that sells for $2.75 a pound.

Then the mixture contains _____ lbs of $4.25/lb tea and  ______ lbs of $1.95 tea


Let the $ 4.25 tea mixed be x lbs.
Let the $ 1.95 tea mixed be y lbs.

x+y = 80 lbs
80 lbs f blended tea at $2.75 . Its vale = 80*2.75 =220

The value of $4.25 tea when mixed will be 4.25x
The value of $1.95 tea when mixed will be 1.95y
4.25x+1.95y=220
x+y=80 Multiply this equation by 1.95

1.95x+1.95y=80*1.95 subtract one from the other

2.30x =64
x=64/2.3  = 27.83 lbs.

80-27.83= 52.17 lbs.


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