SOLUTION: For extremely cold temperatures, an automobile manufacturer recommends that a 80% antifreeze and 20% water mix be used in the cooling system of a car. How many quarts of pure (100%

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Question 376412: For extremely cold temperatures, an automobile manufacturer recommends that a 80% antifreeze and 20% water mix be used in the cooling system of a car. How many quarts of pure (100%) antifreeze and 50% antifreeze and 50% water mix should be combined to make 11 quarts of 80% antifreeze and 20% water mix?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
an automobile manufacturer recommends that a 80% antifreeze and 20% water
mix be used in the cooling system of a car.
How many quarts of pure (100%) antifreeze and 50% antifreeze and 50% water
mix should be combined to make 11 quarts of 80% antifreeze and 20% water mix?
:
Let x = amt of pure antifreeze
Then
(11-x) = amt of 50% antifreeze required
:
.50(11-x) + x = .80(11)
5.5 - .5x + x = 8.8
.5x = 8.8 - 5.5
.5x = 3.3
Multiply by 2
x = 6.6 qt of pure antifreeze
and
11 - 6.6 = 4.4 quarts of 50% antifreeze
;
:
Check this in the original equation
.5(4.4) + 6.6 = .8(11)
2.2 + 6.6 = 8.8; Confirms our answers