SOLUTION: a parmasists wishes to mix a solution that is 7% minoxidil. she has on hand 80 ml of a 4% solution and wishes to add some 9% solution to obtain the desired 7% solution. how much 9%

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Question 490075: a parmasists wishes to mix a solution that is 7% minoxidil. she has on hand 80 ml of a 4% solution and wishes to add some 9% solution to obtain the desired 7% solution. how much 9% solution should she add?
Found 2 solutions by stanbon, josmiceli:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
a pharmasist wishes to mix a solution that is 7% minoxidil.
she has on hand 80 ml of a 4% solution and wishes to add some 9% solution to obtain the desired 7% solution.
how much 9% solution should she add?
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Equation:
mino + mino = mino
0.04*80 + 0.09x = 0.07(80+x)
----
Multiply thru by 100 to get:
4*80 + 9x = 7*80 + 7x
----
2x = 3*80
x = 120 ml (amt of 9% solution needed)
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Cheers,
Stan H.
===================

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = ml of the 9% solution she needs to add
given:
+.04%2A80+=+3.2+ ml of minoxydyl in 4% solution
+.09x+ = ml of minoxydyl in 9% solution
In words:
( ml of minoxydyl in final solution)/ (total ml of final solution) = 7%
+%283.2+%2B+.09x%29+%2F+%2880+%2B+x%29+=+.07+
+3.2+%2B+.09x+=+.07%2A%2880+%2B+x%29+
+3.2+%2B+.09x+=+5.6+%2B+.07x+
+.02x+=+5.6+-+3.2+
+.02x+=+2.4+
+x+=+120+
She needs to add 120 ml of 9% solution
check answer:
+%283.2+%2B+.09x%29+%2F+%2880+%2B+x%29+=+.07+
+%283.2+%2B+.09%2A120%29+%2F+%2880+%2B+120%29+=+.07+
+%28+3.2+%2B+10.8%29+%2F+200+=+.07+
+14%2F200+=+.07+
+14+=+14+
OK