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
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]