SOLUTION: i am making a green potion mixture from two solutions, one containing 24% green color, the other 17% green. I need 5 liters of a solution with 18.5% green color. How much 24% and 1

Algebra ->  Proportions  -> Lessons -> SOLUTION: i am making a green potion mixture from two solutions, one containing 24% green color, the other 17% green. I need 5 liters of a solution with 18.5% green color. How much 24% and 1      Log On


   



Question 159209: i am making a green potion mixture from two solutions, one containing 24% green color, the other 17% green. I need 5 liters of a solution with 18.5% green color. How much 24% and 17% should i mix?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
(liters of green in 24% mixture)+(liters of green in 17% mixture) / (5 liters)=
18.5%
Let x= liters of 24% mixture required
Let y= liters of 17% mixture required
%28.24x+%2B+.17y%29+%2F+5+=+.185
Also known is:
x+%2B+y+=+5
So,
y+=+5+-+x
%28.24x+%2B+.17%285+-+x%29%29+%2F+5+=+.185
multiply both sides by 5
.24x+%2B+.17%285+-+x%29+=+.925
.24x+%2B+.85+-+.17x+=+.925
.07x+=+.925+-+.85
.07x+=+.075
x+=+1.071liters
y+=+5+-+1.071
y+=+3.929liters
I need 1.071 liters of the 24% mixture and 3.929 liters of the 17% mixture
check answers:
%28.24x+%2B+.17y%29+%2F+5+=+.185
%28.24%2A1.071+%2B+.17%2A3.929%29+%2F+5+=+.185
%28.257+%2B+.668%29+%2F+5+=+.185
.925+%2F+5+=+.185
.925+=+.925
OK