SOLUTION: A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 70% pure antifreeze. In order to obtain 150 gallons of a mixture

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Question 1037764: A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 70% pure antifreeze. In order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?

First brand: ? gallons
Second brand: ? gallons
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
x for gallon volume of the 45% and y for gallon volume of the 70%.
system%28x%2By=150%2C%2845x%2B70y%29%2F150=55%29


A lesson how this works: Mixing two concentrations for known amount of mixture i

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
A chemical company makes two brands of antifreeze. The first brand is 45% pure antifreeze, and the second brand is 70% pure antifreeze.
In order to obtain 150 gallons of a mixture that contains 55% pure antifreeze, how many gallons of each brand of antifreeze must be used?

First brand: ? gallons
Second brand: ? gallons
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Typical mixture problem.

See the lessons
    - Solving typical word problems on mixtures for solutions (Problem 1)
    - Word problems on mixtures for antifreeze solutions (Problem 3)
in this site.

Read it attentively. Consider it as your samples.
Then substitute your data and get the solution.