SOLUTION: cashews sell for $8 a pound, and peanuts sell for $3 a pound. A store want to make 20 pounds of mixed nuts which they will sell for $6 a pound. How many pounds of cashews and how m

Question 157671: cashews sell for $8 a pound, and peanuts sell for $3 a pound. A store want to make 20 pounds of mixed nuts which they will sell for $6 a pound. How many pounds of cashews and how many poiunds of peanuts should they use?
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Let x=amount of cashews needed
Then 20-x=amount of peanuts needed
Now we know that the value of the nuts before they are mixed together(8x +3(20-x)) has to equal the value of the nuts after they are mixed together(6*20). So our equation to solve is:
8x+3(20-x)=6*20 get rid of parens and simplify
8x+60-3x=120 subtract 60 from each side
8x+60-60-3x=120-60 collect like terms
5x=60 divide each side by 5
x=12 lb------------------------------amount of cashews needed
20-x=20-12=8 lb------------------------------amount of peanuts needed
CK
8*12+3*8=6*20
96+24=120
120=120
Hope this helps---ptaylor
RELATED QUESTIONS
I cannot do this im stuck... Cashews sell for $8 a pound,and peanuts for $3 a pound. A (answered by mananth)

Mixing nuts: A pound of cashews is $8 and A pound of peanuts is $4. Twenty-five pounds... (answered by mananth)

A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager... (answered by Domtone)

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 $6.00 per pound and peanuts for $3.00 per pound. The manager... (answered by josgarithmetic)

A store sells cashews for $5.00 per pound and peanuts for $1.50 per pound. The manager... (answered by ikleyn)

A store sells cashews for $5.00 per pound and peanuts for $2.00 per pound. The manger... (answered by josmiceli)

A store sells cashews for $5.00 per pound peanuts for $1.50 per pound. The manager... (answered by stanbon)

The owner of a candy store wants to mix some peanuts worth $2 per pound, some cashews... (answered by josgarithmetic)