SOLUTION: To create a breakfast beverage, pineapple juice in two concentrations, 18% and 50%, must be combined into a solution that will be mixed with another type of juice to produce the be

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: To create a breakfast beverage, pineapple juice in two concentrations, 18% and 50%, must be combined into a solution that will be mixed with another type of juice to produce the be      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 648497: To create a breakfast beverage, pineapple juice in two concentrations, 18% and 50%, must be combined into a solution that will be mixed with another type of juice to produce the beverage. If 30 gallons of 18% juice is used, how many gallons of the 50% juice must be used to obtain a 40% pineapple juice solution?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = gallons of 50% juice needed
+.5x+ = gallons of pineapple juice in 50% juice
+.18%2A30+=+5.4+ gallons of pineapple juice in 18% juice
---------------
+%28+.5x+%2B+5.4+%29+%2F+%28+x+%2B+30+%29+=+.4+
+.5x+%2B+5.4+=+.4%2A%28+x+%2B+30+%29+
+.5x+%2B+5.4+=+.4x+%2B+12+
+.1x+=+12+-+5.4+
+.1x+=+6.6+
+x+=+66+
66 gallons of 50% juice are needed
check:
+%28+.5x+%2B+5.4+%29+%2F+%28+x+%2B+30+%29+=+.4+
+%28+.5%2A66+%2B+5.4+%29+%2F+%28+66+%2B+30+%29+=+.4+
+%28+33+%2B+5.4+%29+%2F+96+=+.4+
+38.4+%2F+96+=+.4+
+38.4+=+.4%2A96+
+38.4+=+38.4+
OK