SOLUTION: In the lab, Justin has two solutions that contain alcohol and is mixing them with each other. He uses 3 times as much Solution A as Solution B. Solution A is 17% alcohol and Soluti

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: In the lab, Justin has two solutions that contain alcohol and is mixing them with each other. He uses 3 times as much Solution A as Solution B. Solution A is 17% alcohol and Soluti      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 770456: In the lab, Justin has two solutions that contain alcohol and is mixing them with each other. He uses 3 times as much Solution A as Solution B. Solution A is 17% alcohol and Solution B 14% is alcohol. How many milliliters of Solution B does he use, if the resulting mixture has 195 milliliters of pure alcohol?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = ml of solution A needed
Let +b+ = ml of solution B needed
+.17a+ = ml of alcohol in solution A
+.14b+ = ml of alcohol in solution B
---------------------------------
(1) +a+=+3b+
(2) +.17a+%2B+.14b+=+195+
-----------------------
(2) +17a+%2B+14b+=+19500+
Substitute (1) into (2)
(2) +17%2A%28+3b+%29+%2B+14b+=+19500+
(2) +51b+%2B+14b+=+19500+
(2) +65b+=+19500+
(2) +b+=+300+
He should use 300 ml of solution B
---------
check:
(1) +a+=+3b+
(1) +a+=+900+
and
(2) +.17a+%2B+.14b+=+195+
(2) +.17%2A900+%2B+.14%2A300+=+195+
(2) +153+%2B+42+=+195+
(2) +195+=+195+
OK