SOLUTION: at a cosmetics company, 40L of pure aloe cream are mixed with 50L of a moisturizer that is 64% aloe. what is the percent concentration of aloe in the resulting mixture?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: at a cosmetics company, 40L of pure aloe cream are mixed with 50L of a moisturizer that is 64% aloe. what is the percent concentration of aloe in the resulting mixture?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 998080: at a cosmetics company, 40L of pure aloe cream are mixed with 50L of a moisturizer that is 64% aloe. what is the percent concentration of aloe in the resulting mixture?
Found 2 solutions by josgarithmetic, fractalier:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
%28amountOfAloe%29%2F%28amountOfMixtureResult%29

%2840%2B50%2A0.64%29%2F%2840%2B50%29, the decimal fraction.

%284%2B5%2A0.64%29%2F9

0.80

80%2Apercent%2Aaloe

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The setup looks like this:
40(1) + 50(.64) = (40+50)x
40 + 32 = 90x
72 = 90x
x = 72/90 = .8 = 80%