SOLUTION: A merchant wishes to mix candy worth $5 per lb with 40lb of candy worth $2 per pound to get a mixture that can be sold for $3 per lb. How many pounds of $5 candy should be used?

Algebra.Com
Question 77946: A merchant wishes to mix candy worth $5 per lb with 40lb of candy worth $2 per pound to get a mixture that can be sold for $3 per lb. How many pounds of $5 candy should be used?
Answer by checkley75(3666)   (Show Source): You can put this solution on YOUR website!
5X+2*40=3(40+X)
5X+80=120+3X
5X-3X=120-80
2X=40
X=40/2
X=20 POUNDS OF $5 CANDY IS NEEDED.
PROOF
5*20+2*40=3*60
100+80=180
180=180

RELATED QUESTIONS

A merchant wishes to mix candy worth $5 per lb with 40 lb of candy worth $2 per lb to get (answered by ptaylor)
A candy store owner wishes to mix 30 pounds of candy worth $12 per pound with candy worth (answered by TimothyLamb)
How many pounds of candy worth $8 per lb should be mixed with 100 lb of candy worth $4... (answered by Edwin McCravy)
#5 EllEN WISHES TO MIX CANDY WORTH $1.85 PER POUND WITH CANDY WORTH $3.33 PER POUND TO... (answered by stanbon)
A candy store owner wishes to mix 30 pounds of candy worth $6.00 per pound with nuts... (answered by ptaylor)
Ellen wishes to mix candy worth $1.56 per pound with candy worth $2.60 per pound to form... (answered by checkley71)
#4 EllEN WISHES TO MIX CANDY WORTH $1.92 PER POUND WITH CANDY WORTH $3.11 PER POUND TO... (answered by solver91311)
Ellen wishes to mix candy worth $1.80 per pound with candy worth $2.40 per pound to form... (answered by richwmiller)
Ellen wishes to mix candy worth $1.80 per pound with candy worth $2.40 per pound to form... (answered by stanbon)