SOLUTION: How many gallons of a 60% antifreeze solution must be mixed with 60 gallons of 25% antifreeze to get a mixture that is 50% antifreeze? you need to add ___ gallons of a 60% antif

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Question 487016: How many gallons of a 60% antifreeze solution must be mixed with 60 gallons of 25% antifreeze to get a mixture that is 50% antifreeze?
you need to add ___ gallons of a 60% antifreeze solution.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of a 60% antifreeze solution needed
+.6x+ = gallons of antifreeze in the 60% solution
+.25%2A60+=+15+ = gallons of antifreeze in 25% solution
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In words:
( total gallons of antifreeze ) / ( total gallons of solution ) = 50%
+%28+.6x+%2B+15+%29+%2F+%28+60+%2B+x+%29+=+.5+
+.6x+%2B+15+=+.5%2A%28+60+%2B+x+%29+
+.6x+%2B+15+=+30+%2B+.5x+
+.1x+=+30+-+15+
+.1x+=+15+
+x+=+150+
150 gallons of 60% antifreeze solution must be added
check answer:
+%28+.6x+%2B+15+%29+%2F+%28+60+%2B+x+%29+=+.5+
+%28+.6%2A150+%2B+15+%29+%2F+%28+60+%2B+150+%29+=+.5+
+%28+90+%2B+15+%29+%2F+210+=+.5+
+105%2F210+=+.5+
+105+=+105+
OK