SOLUTION: A grocer wishes to mix peanuts worth .90 per pound with walnuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each nut should she

Question 972705: A grocer wishes to mix peanuts worth .90 per pound with walnuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each nut should she use?
Found 2 solutions by josmiceli, lwsshak3:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of peanuts needed
Let = pounds of walnuts needed
---------------
(1)
(2)
----------------------
(1)
(1)
(1)
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)
-------------------------

and
(2)
(2)
---------------------
75 pounds of peanuts and 100 pounds
of walnuts are needed
-----------------------
check:
(1)
(1)
(1)
(1)
(1)
OK

Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
A grocer wishes to mix peanuts worth .90 per pound with walnuts worth $1.60 per pound to make 175 pounds of a mixture that is worth $1.30 per pound. How much of each nut should she use?
***
let x=amt of peanuts to mix
175-x=amt of walnuts to mix
..
.90x+1.60(175-x)=1.30*175
.90x+280-1.6x=227.50
0.70x=52.50
x=75
175-x=100
amt of peanuts to mix=75 lbs
amt of walnuts to mix=100 lbs
RELATED QUESTIONS
A grocer wishes to mix some nuts worth $.90 per pound with some nuts worth $1.60 per... (answered by Alan3354,ikleyn,josgarithmetic,greenestamps)
A grocer wants to mix peanuts worth $2.50 per pound with 12 pounds of cashews worth $4.75 (answered by sofiyac,mananth)
A grocer wishes to mix some nuts worth $2 a pound with some worth $5 a per pound to make... (answered by checkley77)
A grocer mixed cashews worth $4.25 per pound with peanuts worth $2.75 per pound. How many (answered by stanbon)
A grocer wants to mix peanuts worth $4.90 per pound with hazelnuts worth $7.90 per pounds (answered by Boreal)
bob wants to mix 20 pounds of peanuts worth $3 a pound with cashews worth $5 a pound to... (answered by josmiceli)
how many pounds of peanuts worth $.60 per pound should be mixed with 27 pounds of cashews (answered by mananth)
A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound (answered by macston)
A merchant wants to mix peanuts worth $3 per pound with jelly beans worth $1.50 per pound (answered by Alan3354)