SOLUTION: At a cosmetics company, 24 L of pure aloe cream are mixed with 50 L of a moisturizer that is 63% aloe. What is the percent concentration of aloe in the resulting mixture?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: At a cosmetics company, 24 L of pure aloe cream are mixed with 50 L of a moisturizer that is 63% aloe. What is the percent concentration of aloe in the resulting mixture?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 503261: At a cosmetics company, 24 L of pure aloe cream are mixed with 50 L of a moisturizer that is 63% aloe. What is the percent concentration of aloe in the resulting mixture?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p = decimal fraction of aloe in final mixture
given:
+.63%2A50+=+31.5+ L of aloe in 63% moisturizer
+%28+24+%2B+31.5+%29+%2F+%28+24+%2B+50+%29+=+p+
+55.5+%2F+74+=+p+
+p+=+.75+
+100p+=+75+
The resulting mixture is 75% aloe