SOLUTION: A nut store sells cashew for $4.00 per pound and peanuts for $1.50 per pound.
But at the end of the month , peanuts had not sold well so in order to sell
70 pounds of peanuts, t
Algebra.Com
Question 984982: A nut store sells cashew for $4.00 per pound and peanuts for $1.50 per pound.
But at the end of the month , peanuts had not sold well so in order to sell
70 pounds of peanuts, the manager decided to mixt 70 pounds of peanuts with some cashews and sell the mixture for $3.50 per pound .
How many pounds of cashews should be mixed with the peanuts to ensure no change in the profit?
The manager should mix___pounds of c ashews with the peanuts.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
x=pounds of cashews
4x=revenue of cashew.
profit will be $105 (70 pounds of peanuts @$1.50 lb)
4x+105=(70+x)(3.50)
4x+105=245+3.50x
0.5x=140
x=280 pounds of cashews.
check
350 pounds @3.50 per pound is $1225.
280 pounds of cashews are $1120
70 pounds of peanuts are $105
That adds to $1225.
This makes sense, because the average price is going to be very close to what cashews sell for, so one would expect more cashews in the mixture.
RELATED QUESTIONS
A nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per... (answered by josgarithmetic)
a nut store normally sells cashews at $4 per pound and peanuts for $1.50 per pound. at... (answered by mananth)
nut store normally sells cashews for $4.00 per pound and peanuts for $1.50 (answered by solver91311)
A nut store usually sells cashews for $4.60 per pound and peanuts for $2.20 per pound.... (answered by mananth)
A nut store normally sells cashews for $4.00 per pound and peanuts for... (answered by josgarithmetic)
A grocery store sells a mixture of peanuts and raisins for $1.75 per pound. If peanuts... (answered by checkley75)
Ned the owner of Ned's Nut shop, sells peanuts for $11 per pound and cashew for $10 per... (answered by josgarithmetic)
The nut shack hazelnuts for 7.00 per pound and peanuts for 4.50 per pound how much of... (answered by MathLover1,josgarithmetic)
At The Nut House, a pound of cashews sells for $6.00 per pound and a pound of peanuts... (answered by ewatrrr)