SOLUTION: A merchant has 4 pounds of mixed nuts that cost $40. He wants to add peanuts that cost $1.70 per pound and cashews that cost $4.30 per pound to obtain 60 pounds of a mixture that c

Algebra.Com
Question 797707: A merchant has 4 pounds of mixed nuts that cost $40. He wants to add peanuts that cost $1.70 per pound and cashews that cost $4.30 per pound to obtain 60 pounds of a mixture that costs $2.20 per pound. How many pounds of peanuts are needed?
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = pounds of peanuts needed
Let = pounds of cashews needed
= cost of mixed nuts in mixture
= cost of the mixture
pounds of peanuts and
cashews in mixture
-----------------
(1)
(2)
------------------------------
(2)
I think there is something wrong with the data.
The cost of the mixed nuts is $160 and they
want the final mixture to cost $132 which is not
possible. Get a 2nd opinion, definitely, but I
don't see a way to solve this.

RELATED QUESTIONS

A merchant has 5 pounds of mixed nuts that cost $30.He wants to add peanuts that cost... (answered by checkley77,jrb1965)
A merchant has 8 pounds of mixed nuts that costs $45. He wants to add peanuts that costs... (answered by richwmiller)
A manager bought 12 pounds of peanuts for $30. He wants to mix $5 per pound cashews with... (answered by checkley77)
Cashews cost $5 per pound and peanuts cost $1.50 per pound. How many pounds of cashews... (answered by Fombitz)
Cashews cost $4 per pound and peanuts cost $1 per pound. How many pounds of peanuts... (answered by ankor@dixie-net.com)
Cashews cost $4 per pound and peanuts cost $1 per pound. How many pounds of peanuts... (answered by solver91311)
Hector bought mixed peanuts and cashews He bought 5 pounds of cashews for 9.00 a pound. (answered by richwmiller)
How manypounds of cashews that cost $14 per pound must be mixed with 5 pounds of peanuts... (answered by ikleyn)
A merchant wishes to mix two grades of peanuts costing $3 and $4 per pound, respectively, (answered by josgarithmetic)