SOLUTION: in the lab, Linda has two solutions that contain alcohol and is mixing them with each other. she uses twice as much solutions a as solution b. solution a is 10% alcohol and solutio

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: in the lab, Linda has two solutions that contain alcohol and is mixing them with each other. she uses twice as much solutions a as solution b. solution a is 10% alcohol and solutio      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 1053126: in the lab, Linda has two solutions that contain alcohol and is mixing them with each other. she uses twice as much solutions a as solution b. solution a is 10% alcohol and solution b is 15% alcohol. how many milliliters of solution b does she use if the resulting mixture has 70 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 used
Let +b+ = ml of solution B used
---------------------------------
(1) +.1a+%2B+.15b+=+70+
(2) +a+=+2b+
------------------------
Plug (2) into (1)
(1) +.1%2A%282b%29+%2B+.15b+=+70+
(1) +.2b+%2B+.15b+=+70+
(1) +.35b+=+70+
(1) +b+=+200+
She uses 200 ml of solution B
-------------
check:
(2) +a+=+2b+
(2) +a+=+2%2A200+
(2) +a+=+400+ ml
and
(1) +.1a+%2B+.15b+=+70+
(1) +.1a+%2B+.15%2A200+=+70+
(1) +.1a+%2B+30+=+70+
(1) +.1a+=+40+
(1) +a+=+400+ ml
OK