SOLUTION: A solution that is 20% acid and 80% water is mixed with a solution that is 50% acid and 50% water. If twice as much 50% acid solution is used as 20% solution, then what is the rati

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: A solution that is 20% acid and 80% water is mixed with a solution that is 50% acid and 50% water. If twice as much 50% acid solution is used as 20% solution, then what is the rati      Log On


   

Question 1003885: A solution that is 20% acid and 80% water is mixed with a solution that is 50% acid and 50% water. If twice as much 50% acid solution is used as 20% solution, then what is the ratio of acid to water in the mixture of the solutions?
Answer by josgarithmetic(39614) About Me  (Show Source):
You can put this solution on YOUR website!
x, how much 20% acid
y, how much 50% acid
y/x=2

Percent acid of the mixture or solution,
%2820x%2B50y%29%2F%28x%2By%29

%2820x%2B50%2A2x%29%2F%28x%2B2x%29

%28x%2Fx%29%28%2820%2B100%29%2F3%29

120%2F3

highlight%2840%29-------the percent acid of the new solution.
This means 40 parts acid, 60 parts water.
40%2F60=highlight%282%2F3%29--------the ratio of acid to water.