SOLUTION: I'm not sure how to solve this or where to even begin. A chemist wants to dilute her 5L stock of 30% solution of acid to 15%. How much 10% solution does she have to add to the

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: I'm not sure how to solve this or where to even begin. A chemist wants to dilute her 5L stock of 30% solution of acid to 15%. How much 10% solution does she have to add to the       Log On


   



Question 783407: I'm not sure how to solve this or where to even begin.
A chemist wants to dilute her 5L stock of 30% solution of acid to 15%. How much 10% solution does she have to add to the 30% solution in order to obtain a mixture that is 15% acid?

Found 2 solutions by josmiceli, solver91311:
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = liters of 10% solution to be added
+.1x+ = liters of acid in 10% solution
+.3%2A5+=+1.5+ liters of acid already in 30% solution
------------------
+%28+.1x+%2B+1.5+%29+%2F+%28+x+%2B+5+%29+=+.15++
+.1x+%2B+1.5+=+.15%2A%28+x+%2B+5+%29+
+.1x+%2B+1.5+=+.15x+%2B+.75+
+.05x+=+.75+
+x+=+15+
15 liters of 10% solution need to be added
check:
+%28+.1x+%2B+1.5+%29+%2F+%28+x+%2B+5+%29+=+.15++
+%28+.1%2A15+%2B+1.5+%29+%2F+%28+15+%2B+5+%29+=+.15++
+%28+1.5+%2B+1.5+%29+%2F+20+=+.15+
+3+=+.15%2A20+
+3+=+3+
OK

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The amount of pure acid in 5 liters of 30% solution is liters. The amount of pure acid in liters of 10% solution is liters. Mixed together, the amount of pure acid in liters of 15% solution is either or , so:



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