SOLUTION: I really need help for this problem! 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 (anot

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Question 22542: I really need help for this problem!
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 (another 8 qts.) of a 90% solution. When he is finished, what will the solution's percentage be?
Any help would be greatly appreciated!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the percentage of antifreeze in the 16 qts of coolant after the addition of the 8 qts of 90% solution. You can write the following equation after changing the percentages to their equvalent decimal values:
8%280.15%29+%2B+8%280.9%29+=+16%28x%29 Simplify and solve for x.
8%281.05%29+=+16x Divide both sides by 16.
0.5%281.05%29+=+x
x+=+0.525 Now change the decimal to a percent.
0.525+=+52.5%
The final solution will be 52.5% antifreeze.