SOLUTION: A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 150 ounces of a mixture that is 20% salt. How many ounces of water and how

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 150 ounces of a mixture that is 20% salt. How many ounces of water and how       Log On


   



Question 1149427: A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 150 ounces of a mixture that is 20% salt. How many ounces of water and how many ounces of the 30% salt solution should she use?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = ounces of water needed
Let +b+ = ounces of 30% solution needed
--------------------------------------------------
(1) +a+%2B+b+=+150+
(2) +.3b+%2F+150+=+.2+
-------------------------------
(2) +.3b+=+30+
(2) +b+=+100+
and
(1) +a+%2B+100+=+150+
(1) +a+=+50+
--------------------------
50 ounces of water is needed
100 ounces of 30% solution is needed
-------------------------------------------
check:
(2) +.3b+%2F+150+=+.2+
(2) +.3%2A100+%2F+150+=+.2+
(2) +30%2F150+=+.2+
(2) +.2+=+.2+
OK