SOLUTION: A merchant has 8 pounds of mixed nuts that costs $45. He wants to add peanuts that costs $1.75 per pound and cashews that costs $4.25 per pound to obtain 75pounds of a mixture that
Algebra.Com
Question 908078: A merchant has 8 pounds of mixed nuts that costs $45. He wants to add peanuts that costs $1.75 per pound and cashews that costs $4.25 per pound to obtain 75pounds of a mixture that costs $3 per pound. How many pounds of peanuts and cashews will you need?
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
45+1.75p+4.25c=75*3
45*+1.75p+4.25c=225
1.75p+4.25c=180
p+c=67
Since there will be 75 lbs and you already have 8 lbs, you need 67 lbs of peanuts and cashews.
x+y=67,
1.75*x+4.25*y=180
x=67-y
1.75*(67-y)+4.25*y=180
117.25-1.75y+4.25*y=180
2.5*y=62.75
y=25.1
x=67-y
peanuts x=41.9 at 1.75 and cashews y=25.1 at 4.25
check
41.9+25.1=67
1.75*x+4.25*y=180
1.75*41.9+4.25*25.1=180
73.325+106.675=180
180.0=180
ok
RELATED QUESTIONS
A merchant has 5 pounds of mixed nuts that cost $30.He wants to add peanuts that cost... (answered by checkley77,jrb1965)
A merchant has 4 pounds of mixed nuts that cost $40. He wants to add peanuts that cost... (answered by josmiceli)
A manager bought 12 pounds of peanuts for $30. He wants to mix $5 per pound cashews with... (answered by checkley77)
A merchant wishes to mix two grades of peanuts costing $3 and $4 per pound, respectively, (answered by josgarithmetic)
The owner of a candy store wants to mix some peanuts worth $4 per pound, some cashews... (answered by richwmiller)
Casey has 15 pounds of cashews that sell for $5.25 per pound. If peanuts sell for $2.50... (answered by mananth)
Hector bought mixed peanuts and cashews He bought 5 pounds of cashews for 9.00 a pound. (answered by richwmiller)
Mixing nuts: A pound of cashews is $8 and A pound of peanuts is $4. Twenty-five pounds... (answered by mananth)
How many pounds of walnuts (cost: $7.60 per pound) must be mixed with 6 pounds of cashews (answered by josmiceli)