SOLUTION: Your car radiator can hold 4 liters of fluid. Many automotive stores sell jugs of pure antifreeze, but some also sell jugs of antifreeze that have been premixed with water. Suppose
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Question 1147729: Your car radiator can hold 4 liters of fluid. Many automotive stores sell jugs of pure antifreeze, but some also sell jugs of antifreeze that have been premixed with water. Suppose you buy a jug of 40% antifreeze mixture as well as a jug of pure antifreeze. How many liters of each jug must you use to make enough of a 70% mixture to fill your radiator? Found 2 solutions by josgarithmetic, ikleyn:Answer by josgarithmetic(39621) (Show Source):
It intently includes many words and whole story to confuse the reader and distract his (or her) attention.
Its shortest formulation is THIS :
How much of pure antifreeze and how much of 40% antifreeze should be mixed
to make 4 liters of the 40% antifreeze.
Solution
Let x be the volume of the pure antifreeze.
Then the volume of the 40% antifreeze should be (4-x) liters.
The basic equation is
x + 0.4*(4-x) = 0.7*4
saying that the sum of antifreeze volumes in ingredients is equal to the volume of the antifreeze in the mixture.
From equation, express x and calculate
x = = 2 liters.
ANSWER. 2 liters of the 70% antifreeze should be mixed with 2 liters of the pure antifreeze.
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