SOLUTION: "The radiator in your car contains 4 gallons of antifreeze and water. The mixture is 45% antifreeze. How much of the mixture should be drained and replaced with pure antifreeze in

Algebra ->  Coordinate Systems and Linear Equations -> SOLUTION: "The radiator in your car contains 4 gallons of antifreeze and water. The mixture is 45% antifreeze. How much of the mixture should be drained and replaced with pure antifreeze in       Log On


   



Question 1129217: "The radiator in your car contains 4 gallons of antifreeze and water. The mixture is 45% antifreeze. How much of the mixture should be drained and replaced with pure antifreeze in order to have a 60% antifreeze solution? Solve as a system of linear equations in two variables and round to the nearest tenth of a gallon."
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = gallons of pure antifreeze drained from radiator
Let +b+ = total gallons of mixture removed from radiator
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(1) +a+=+.45b+
(2) +%28+-a+%2B+b+%29+%2F+4+=+.6+
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(2) +-a+%2B+b+=+2.4+
(2) +-.45b+%2B+b+=+2.4+
(2) +.55b+=+2.4+
(2) +b+=+4.364+
4.4 gallons of mixture should be removed
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check:
+a+=+.45%2A4.364+
+a+=+1.964+
+%28+-1.964+%2B+4.364+%29%2F4+=+.6+
+2.4002+=+2.4+
error due to rounding off
OK