SOLUTION: A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a pound to produce an 80 lb mixture that sells for $2.75 a pound. How much of the $3.45 lb tea and

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Question 210918: A merchant blends tea that sells for $3.45 a pound with tea that sells for $2.15 a pound to produce an 80 lb mixture that sells for $2.75 a pound. How much of the $3.45 lb tea and how much of the $2.15 lb tea does the mixture contain?
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
3.45x+2.15(80-x)=2.75*80
3.45x+172-2.15x=220
1.3x=220-172
1.3x=48
x=48/1.3
x=36.923 pounds of 3.45 tea.
80-36.923=43.077 pounds of 2.15 tea.
Proof
3.45*36.923+2.15*43.077=220
127.38+92.6156=220
200~200