SOLUTION: You have a jug of 40% antifreeze solution in your garage, and you just bought a new container of 100% antifreeze from the auto parts store. You need to mix up 1 gallon of 50% anti

Question 321890: You have a jug of 40% antifreeze solution in your garage, and you just bought a new container of 100% antifreeze from the auto parts store. You need to mix up 1 gallon of 50% antifreeze for your car's radiator. How much of each of the two solutions do you need to use?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
You have a jug of 40% antifreeze solution in your garage, and you just bought a new container of 100% antifreeze from the auto parts store. You need to mix up 1 gallon of 50% antifreeze for your car's radiator. How much of each of the two solutions do you need to use?
Let A be the amount of 40% solution, B the amount of 100% solution.
Volume equation:
1.
Concentration equation:

2.
Multiply eq. 1 by (-4) and add to eq. 2,

Then from eq. 1,

.
.
.
Use 1/3 gallon of 40% solution and 2/3 gallon of 100% solution.

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