SOLUTION: The capacity of an automobile cooling system is 16 quarts. It is half full of a 15% antifreeze solution. The owner is adding 2 gallons of a 90% solution (remember, 1 gallon = 4 qua

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Question 626171: The capacity of an automobile cooling system is 16 quarts. It is half full of a 15% antifreeze solution. The owner is adding 2 gallons of a 90% solution (remember, 1 gallon = 4 quarts). When he is finished, what will the solution's percentage value be?
Answer by josmiceli(9671) About Me  (Show Source):
You can put this solution on YOUR website!
+16+ qts x +1%2F4+ gal/qt = +4+ gal
The capacity is 4 gallons
It is half full, so
It has 2 gallons of 15% antifreeze
+.15%2A2+=+.3+ gallons antifreeze in tank
-----------------
The owner fills the tank by adding 2 gallons
of 90% antifreeze
+.9%2A2+=+1.8+ gallons of antifreeze
The total antifreeze in tank is then
+.3+%2B+1.8+=+2.1+ gal
+2.1%2F+4+=+.525+
+.525%2A100+=+52.5+
The solution's percentage will be 52.5%