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
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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
