SOLUTION: The Nut Barn needs 10 pounds of mixed peanuts and cashews to sell for $8.50 per pound. Cashews alone sell for $10 per pound and peanuts for $7.50 per pound. What is the amount of c

Algebra.Com
Question 128222: The Nut Barn needs 10 pounds of mixed peanuts and cashews to sell for $8.50 per pound. Cashews alone sell for $10 per pound and peanuts for $7.50 per pound. What is the amount of cashews that can be in the mixture and hold the price to $8.50 per pound?
a. Choose a variable to represent the number of pounds of peanuts. Then find the number of pounds of cashews to be added to make 10 pounds total. Now figure out the cost of the amount of each nut in the mixture.
b. Write the equation.
c. Solve the equation

Answer by checkley71(8403)   (Show Source): You can put this solution on YOUR website!
10x+7.50(10-x)=8.50*10
10x+75-7.50x=85
2.5x=85-75
2.5x=10
x=10/2.5
x=4 pounds of cashews are needed.
10*4+7.5(10-4)=85
40+7.5(6)=85
40+45=85
85=85

RELATED QUESTIONS

A store sells cashews for $5.00 per pound and peanuts for $2.00 per pound. The manager... (answered by jorel1380)
A store sells cashews for $5.00 per pound and peanuts for $2.00 per pound. The manger... (answered by josmiceli)
A store manager wishes to mix two kinds of nuts, cashews and peanuts, as sales promotion. (answered by richwmiller)
A nut store normally sells cashews for​ $4.00 per pound and peanuts for $1.50 per... (answered by josgarithmetic)
nut store normally sells cashews for​ $4.00 per pound and peanuts for​ $1.50 (answered by solver91311)
Ned the owner of Ned's Nut shop, sells peanuts for $11 per pound and cashew for $10 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)
A nut store usually sells cashews for $4.60 per pound and peanuts for $2.20 per pound.... (answered by mananth)
The owner of a candy store wants to mix some peanuts worth $2 per pound, some cashews... (answered by lwsshak3,josgarithmetic)