SOLUTION: A pharmacist wishes to mix a solution that is 6​% Minoxidil. She has on hand 60 ml of a 3​% solution and wishes to add some 8​% solution to obtain the desired 6&

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A pharmacist wishes to mix a solution that is 6​% Minoxidil. She has on hand 60 ml of a 3​% solution and wishes to add some 8​% solution to obtain the desired 6&      Log On


   



Question 1126499: A pharmacist wishes to mix a solution that is 6​% Minoxidil. She has on hand 60 ml of a 3​% solution and wishes to add some 8​% solution to obtain the desired 6​% solution. How much 8​% solution should she​ add?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = ml of 8% solution needed
+.08a+ = ml of minoxidil in 8% solution
+.03%2A60+=+1.8+ = ml of minoxidil in 3% solution
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+%28+1.8+%2B+.08a+%29+%2F+%28+60+%2B+a+%29+=+.06+
+1.8+%2B+.08a+=+.06%2A%28+60+%2B+a+%29+
+1.8+%2B+.08a+=+3.6+%2B+.06a+
+.02a+=+1.8+
+a+=+90+
90 ml of 8% solution needed
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check:
+%28+1.8+%2B+.08%2A90+%29+%2F+%28+60+%2B+90+%29+=+.06+
+%28+1.8+%2B+7.2+%29+%2F+150+=+.06+
+9+=+.06%2A150+
+9+=+9+
OK