SOLUTION: A pharmacist needs to make a 1% hydrocortisone cream. How many grams of 2.5 % hydrocortisone cream should be added to 15 grams of cream base (0% hydrocortisone) to make a 1% cream

Algebra ->  Human-and-algebraic-language -> SOLUTION: A pharmacist needs to make a 1% hydrocortisone cream. How many grams of 2.5 % hydrocortisone cream should be added to 15 grams of cream base (0% hydrocortisone) to make a 1% cream      Log On


   



Question 939940: A pharmacist needs to make a 1% hydrocortisone cream. How many grams of 2.5 % hydrocortisone cream should be added to 15 grams of cream base (0% hydrocortisone) to make a 1% cream?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = grams of 2.5% cream needed
+.025x+ = grams of hydrocortisone in 2.5% cream
------------------------
+.025x+%2F+%28+x+%2B+15+%29+=+.01+
+.025x+=+.01%2A%28+x+%2B+15+%29+
+.025x+=+.01x+%2B+.15+
+.015x+=+.15+
+x+=+10+
10 grams of 2.5% cream are needed
---------------
check:
+.025%2A10+%2F+%28+10+%2B+15+%29+=+.01+
+.25%2F25+=+.01+
+.25+=+.25+
OK