A merchant has 20 pounds of an $8 per pound tea. how many pounds of a $4 per pound tea should he add to the 8$ per pound tea to get a mixture worth $5 per pound?

1 Answer
Binayaka C.
Aug 11, 2018

#60# pounds of #$4# per pound tea is mixed with #20# pounds of #$8# per pound tea to get #80# pounds of #$5# per pound of tea .

Explanation:

Let's assume that #x# pounds of #$4# per pound tea is

mixed with #20# pounds of #$8# per pound tea, then

#4 x+ 20* 8= (20+x)* 5 or 4 x +160 = 5 x +100# or

# 5x -4x = 160 -100 or x = 60# pounds. Therefore,

#60# pounds of #$4# per pound tea to be mixed

with #20# pounds of #$8# per pound tea to get #80# pounds

of #$5# per pound of tea . [Ans]

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