SOLUTION: How many quarts of pure antifreeze must be added to 3 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution (Hint: pure antifreeze is 100% antifreeze) I can no

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Question 557055: How many quarts of pure antifreeze must be added to 3 quarts of a 10% antifreeze solution to obtain a 30% antifreeze solution (Hint: pure antifreeze is 100% antifreeze)
I can not figure this out!

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = the number of quarts of pure (100%) antifreeze to be added to 3 quarts of the 10% antifreeze solution.
x(100%)+3(10%) = (3+x)(30%) Change the percentages to their decimal equivalents.
x%2B3%280.1%29+=+%283%2Bx%29%280.3%29 Simplify and solve for x.
x%2B0.3+=+0.9%2B0.3x Subtract 0.3x from both sides.
0.7x%2B0.3+=+0.9 Subtract 0.3 from both sides.
0.7x+=+0.6 Finally, divide both sides by 0.7
x+=+0.6%2F0.7
x+=+0.857quarts (Approx)