SOLUTION: A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a pound to produce 80lb of a mixture that sells for $2.75 a pound Then the mixture contain

Question 260702: A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a pound to produce 80lb of a mixture that sells for $2.75 a pound
Then the mixture contains x lb of $3.45/lb tea and y lb of $2.15/lb tea

Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
This is a mixture problem. Here is a table based on the above information.
tea . . . . . . . . . . . . .$/lb . . . .. . . . . . lb . . . . . . . . . . . $
A . . . . . . . . . . . . . .($3.45) . . . . . . . x . . . . . . . . . . . ($3.45x)
B . . . . . . . . . . . . . .($2.15) . . . . . . . 80-x . . . . . . . . .$172 - $2.15x
mixture . . . . . . . . . ($2.75) . . . . . . .80 . . . . . . . . . . .$220
First, the variables x and y are there to confuse you. You only need x.
using the third column we get
(i)
combine like terms to get
(ii)
subtract 172 to get
(iii)
divide to get
(iv) x = 36.92
you need ~ 36.92 lb of the $3.45 tea and ~ 43.08 lb of the $2.15 tea.
these are unusual answers, but they work.
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 $3.00 a pound with tea that sells for $2.75 a pound... (answered by josmiceli)

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

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

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)

A merchant blends tea that sells for $4.65 a pound with tea that sells for $2.25 a pound... (answered by josgarithmetic)