SOLUTION: Candy worth $2.45 per pound is mixed with candy worth $2.30 per pound. How much of each kind must be used to have 30 pounds of a mixture worth $2.35 a pound?

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Question 186121This question is from textbook Algebra 1
: Candy worth $2.45 per pound is mixed with candy worth $2.30 per pound. How much of each kind must be used to have 30 pounds of a mixture worth $2.35 a pound? This question is from textbook Algebra 1

Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
2.45x+2.30(30-x)=2.35*30
2.45+69-2.3x=70.5
.15x=70.5-69
.15x=1.5
x=15/.15
x=10 lbs. of $2.45 candy is used.
30-10=20 lbs. of $2.30 candy is used.
Proof:
2.45*10+2.30(30-10)=2.35*30
24.5+2.3*20=70.5
24.5+46=70.5
70.5=70.5