SOLUTION: The ARC coffee company sells cashews for $5.50 per pound and peanuts for $3.50 per pound. The company wants to make five pound packages of mixed nuts and sell them for $4.00 per po

Question 909478: The ARC coffee company sells cashews for $5.50 per pound and peanuts for $3.50 per pound. The company wants to make five pound packages of mixed nuts and sell them for $4.00 per pound. How many pounds of peanuts should be in the mix?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
c+p=5,
5.5*c+3.5*p=20
c=5-p
5.5*(5-p)+3.5*p=20
27.5-5.5p+3.5*p=20
-2.0*p=-7.5
p=3.75
c=5-p
c=1.25 at 5.5 and p=3.75 at 3.5
check
1.25+3.75=5
5.5*c+3.5*p=20
5.5*1.25+3.5*3.75=20
6.875+13.125=20
20.0=20
ok

RELATED QUESTIONS
A snack company wants to make a mixture of peanuts and raisins to sell for $4.99 per... (answered by Fombitz)

At The Nut House, a pound of cashews sells for $6.00 per pound and a pound of peanuts... (answered by stanbon)

The manager of a candy shop sells chocolate covered peanuts for $7 per pound and... (answered by greenestamps)

A company sells nuts in bulk quantities. When bought in bulk, peanuts sell for $1.40 per... (answered by josgarithmetic)

The owner of a candy store wants to mix some peanuts worth $2 per pound, some cashews... (answered by lwsshak3,josgarithmetic)

The owner of a candy store wants to mix some peanuts worth $4 per pound, some cashews... (answered by richwmiller)

The Nutty Professor sells cashews for $7.00 per pound and Brazil nuts for $4.60 per... (answered by josgarithmetic)

At the nut house ,a pound of cashews sells for $6.00 per pound and a pound of peanuts... (answered by richwmiller)

Ms. Folgers has some coffee that sells for $4 per pound and a second coffee that sells... (answered by josgarithmetic)