SOLUTION: How many gallons of a 60% solution should Angela add to 30 gallons of a 10% solution to produce a 40% solution?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: How many gallons of a 60% solution should Angela add to 30 gallons of a 10% solution to produce a 40% solution?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 892994: How many gallons of a 60% solution should Angela add to 30 gallons of a 10% solution to produce a 40% solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of 60% solution needed
+.6x+ = gallons of concentrate in 60% solution
+.1%2A30+=+3+ = gallons of concentrate in 10% solution
-------------------------------------------------
+%28+.6x+%2B+3+%29+%2F+%28+x+%2B+30+%29+=+.4+
+.6x+%2B+3+=+.4%2A%28+x+%2B+30+%29+
+.6x+%2B+3+=+.4x+%2B+12+
+.2x+=+9+
+x+=+45+
45 gallons of 60% solution must be added
check:
+%28+.6x+%2B+3+%29+%2F+%28+x+%2B+30+%29+=+.4+
+%28+.6%2A45+%2B+3+%29+%2F+%28+45+%2B+30+%29+=+.4+
+%28+27+%2B+3+%29+%2F+75+=+.4+
+30+=+.4%2A75+
+30+=+30+
OK