SOLUTION: A merchant blends tea that sells for $3.00 a pound with tea that sells for $2.75 a pound to produce 80 pound of a mixture that sells for $2.90 a pound. How many pounds of each type

Question 321154: A merchant blends tea that sells for $3.00 a pound with tea that sells for $2.75 a pound to produce 80 pound of a mixture that sells for $2.90 a pound. How many pounds of each type of tea does the merchant use in the blend.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
= pounds of $3/lb tea
= pounds of $2.75/lb tea
given:
(1)
---------

(2)
Multiply both sides of (1) by
and subtract (1) from (2)
(2)
(1)

and, since

The merchant needs 48 pounds of $3/lb tea and
32 pounds of $2.75/lb tea
RELATED QUESTIONS
A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a pound... (answered by Mathtut,josmiceli)

A merchant blends tea that sells for $4.25 a pound with tea that sells for $1.95 a pound (answered by mananth)

A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a pound... (answered by checkley77)

A merchant blends tea that sells for $3.00 a pound with tea that sells for $2.75 a pound... (answered by bubblz190,venugopalramana)

A merchant blends tea that sells for $5.80 a pound with tea that sells for $2.00 a pound... (answered by josgarithmetic)

A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a... (answered by drk)

Please help me with this question! A merchant blends tea that sells for $5.05 a pound... (answered by kevwill)

A merchant blends tea that sells for $4.60 a pound with tea that sells for $2.35 a pound... (answered by nyc_function,stanbon)

A merchant blends tea that sells for $5.00 a pound with tea that sells for $2.50 a pound... (answered by ewatrrr)