Question

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?

Answer 1

`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]