SOLUTION: Keith wants to create a drink that is 40% juice.How much of 10% solution should he add to 10 milliliters of 100%juice to obtain 40%mix?

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: Keith wants to create a drink that is 40% juice.How much of 10% solution should he add to 10 milliliters of 100%juice to obtain 40%mix?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 788164: Keith wants to create a drink that is 40% juice.How much of 10% solution should he add to 10 milliliters of 100%juice to obtain 40%mix?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = ml of 10% solution to be added
+.1x+ = ml of juice in 10% solution
+10+ ml = ml of juice in 100% solution
-----------------------------------
+%28+.1x+%2B+10+%29+%2F+%28+x+%2B+10+%29+=+.4+
+.1x+%2B+10+=+.4%2A%28+x+%2B+10+%29+
+.1x+%2B+10+=+.4x+%2B+4+
+.3x+=+6+
+x+=+20+
20 ml of 10% solution needs to be added
check:
+%28+.1x+%2B+10+%29+%2F+%28+x+%2B+10+%29+=+.4+
+%28+.1%2A20+%2B+10+%29+%2F+%28+20+%2B+10+%29+=+.4+
+%28+2+%2B+10+%29+%2F+30+=+.4+
+12+=+.4%2A30+
+12+=+12+
OK