SOLUTION: How many liters of a blue dye that costs $1.80 per liter must be mixed with 20 L of Anil, which costs $2.60 per liter, to make a mixture that costs $2.12 per liter? A. 30 L B.

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: How many liters of a blue dye that costs $1.80 per liter must be mixed with 20 L of Anil, which costs $2.60 per liter, to make a mixture that costs $2.12 per liter? A. 30 L B.       Log On


   

Question 159571: How many liters of a blue dye that costs $1.80 per liter must be mixed with 20 L of Anil, which costs $2.60 per liter, to make a mixture that costs $2.12 per liter?
A. 30 L
B. 25 L
C. 20 L
D. 15 L
Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
The total volume is the same on both sides
1.80X+(20)(2.6)=(X+20)(2.12)
Use the distributive property
1.80X+52=2.12X+42.4
Subtract 1.8X from both sides
52=0.32X+42.4
Subtract 42.4 from both sides
9.6=0.32X
X=30 L
Answer is A.
You can double check by replacing 30 for X