SOLUTION: Proportions: Mr. Freidmans new car has a cooling system that requires 16 quarts of coolant. The cooling system needs 1 quart pf antifreeze for every 2 quarts of water to protect ag

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Question 725449: Proportions: Mr. Freidmans new car has a cooling system that requires 16 quarts of coolant. The cooling system needs 1 quart pf antifreeze for every 2 quarts of water to protect against winter freeze up. How much water should be drained from the cooling system and replaced with antifreeze to protect against freeze up?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
x= volume of water drained and replaced with antifreeze, in quarts
x%2F%2816-x%29=1%2F2 is the ratio of antifreeze to water
x%2F%2816-x%29=1%2F2 --> 2x=16-x "equating the cross products", or multiplying both sides of the equal sign times 2%2816-x%29

2x=16-x --> 2x%2Bx=16-x%2Bx --> 3x=16 --> x=16%2F3=5%261%2F3
You need to drain 5%261%2F3 quarts of water and replace them with antifreeze.