SOLUTION: A Pharmacist needs to find an order for a 3% solution. However only 1% and 6% solutions are in stock. How much of the 6% solution should be mixed with 70g of the 1% solution to g

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Question 788861: A Pharmacist needs to find an order for a 3% solution. However only 1% and 6% solutions are in stock. How much of the 6% solution should be mixed with 70g of the 1% solution to get 3% solution.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = grams of 6% solution needed
+.06x+ = grams of dissolved chemical in 1% solution
+.01%2A70+=+.7+ = grams of dissolved chemical in 1% solution
---------------------
+%28+.06x+%2B+.7+%29+%2F+%28+x+%2B+70+%29+=+.03+
+.06x+%2B+.7+=+.03%2A%28+x+%2B+70+%29+
+.06x+%2B+.7+=+.03x+%2B+2.1+
+.03x+=+2.1+-+.7+
+.03x+=+1.4+
+x+=+46.667+
46.667 g of 6% solution must be used
check:
+%28+.06x+%2B+.7+%29+%2F+%28+x+%2B+70+%29+=+.03+
+%28+.06%2A46.667+%2B+.7+%29+%2F+%28+46.667+%2B+70+%29+=+.03+
+%28+2.8+%2B+.7+%29+%2F+116.667+=+.03+
+3.5+%2F+116.667+=+.03+
+3.5+=+.03%2A116.667+
+3.5+=+3.5+
OK