finitemath
posted by sha .
a store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. the manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. how many pounds of cashews should be mixed with the peanuts so that the mixture will produce the same revenue as would selling the nuts separately?

Equate total selling price of mixture to total selling price of components. Solve for weight of cashews.
Let
x=weight of cashews to be added
Total price of mixture
= 3(30+x)
Total price of components
= 30*1.5 + 5x
Equate and solve for x:
3(30+x) = 30*1.5 + 5x
Isolate x and solv
5x3x = 3(30)30(1.5)
2x = 45
x = 22.5 lbs 
thanks a million!

The grocery store sells kumquats for $3.75 a pound and Asian pears for $2.25 a pound. Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with $14.
Respond to this Question
Similar Questions

Math Word Problem
Cashews sell for $4.00 per pound and peanuts for $1.50 per pound. The peanuts didn't sell well, so in order to sell 60 lbs of peanuts the manager decided to mix 60 lbs of peanuts w/ cashews and sell the mixture for $2.50 per pound. … 
Math
A grocery store wants to make a mixture of nuts consisting of cashews and pecans. The cashews sell for $4 per pound while the pecans sell for $10 a pound. How many pounds of each nut must be mixed to produce a 6 pound mixture that … 
Math
A manager bought 12 pounds of peanuts for $30. He wants to mix $5 per pound cashews with the peanuts to get a batch of mixed nuts that is worth $4 per pound. How many pounds of cashews are made? 
Math
Peanuts sell for $3.00 per pound. Cashews sell for $6.00 per pound. How many pounds of cashews should be mixed with 12 pounds of peanuts to obtain a mixture that sells for $4.20 per pound? 
algebra
A store sells mixtures of almonds and cashews for $6.50 per pound. Peanuts sell for $2.95 per pound and cashews sell for $7.95. How many pounds of each should be used to make 80 pounds of this mixture? 
college algebra
A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager decides to mix 30 pounds of peanuts with some cashews and sell the mixture for $3.00 per pound. How many pounds of cashews should be mixed with … 
Algebra
Sarah mixes cashews that cost $9.00 per pound with 50 lb of peanuts that cost $5.00 per pound. How many pounds of cashews should she mix to make a nut mixture that cost $6.50 per pound? 
math
A nut wholesalersells a mix of peanuts and cashews. He charges $2.80 per pound for peanuts and $5.30 per pound for cashews. If the mix of peanuts and cashwes is to sellfor $3.30 pre pount, how many pound each of the peanuts and cashews … 
college algebra
a candy company has 130 pounds of cashews and 170 pounds of peanuts which they combine into different mixes good luck stats has half cash and half peanuts and sells for $7 a pound become a mix has one third cashews and two thirds peanuts … 
algebra
a candy company has 130 pounds of cashews and 170 pounds of peanuts which they combine into different mixes the deluxe has half cashews and half peanuts and sells for $7 a pound the economy mix has one third cashews and two thirds …