SOLUTION: Theophylline, an asthma medicine, is to be prepared from an elixir with a drug concentration of 5 mg/mL and a cherry-flavored syrup that is to be added to hide the taste of the dru

Algebra ->  Customizable Word Problem Solvers  -> Travel -> SOLUTION: Theophylline, an asthma medicine, is to be prepared from an elixir with a drug concentration of 5 mg/mL and a cherry-flavored syrup that is to be added to hide the taste of the dru      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 837775: Theophylline, an asthma medicine, is to be prepared from an elixir with a drug concentration of 5 mg/mL and a cherry-flavored syrup that is to be added to hide the taste of the drug. How much of each must be used to prepare 100 milliliters of solution with a drug concentration of 3 mg/mL? How many mL of the elixir? How many mL of the cherry-flavored syrup?

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = ml of elixir needed
Let +b+ = ml of syrup needed
+%285%2F1%29%2Aa+=+5a+ = mg of drug in +a+ ml of elixir
----------------------------
(1) +a+%2B+b+=+100+ ml
(2) +5a+%2F+100+=+3+
-----------------------
(2) +5a+=+300+
(2) +a+=+60+ ml
and
(1) +a+%2B+b+=+100+
(1) +60+%2B+b+=+100+
(1) +b+=+40+
60 ml of elixir is needed
40 ml of syrup is needed
check:
The mg of drug in the elixir is +%285%2F1%29%2A60+=+300+ mg
The mg/ml concentration of the drug is:
+300+%2F+100+=+3+ mg/ml
OK