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#12007

inequalities

applications

hard

45 sec

A chemist is preparing a 50-liter solution by mixing $p$ liters of a liquid that is 20% acid with pure water. The total volume of the final solution is 50 liters. If the concentration of acid in the final solution must be no more than 15%, what is the greatest integer number, $p$ , of liters of the 20% acid liquid that can be used?

• Up to 5 characters (6 if negative). Only numbers, decimal (.), fraction (/), negative (-).
• Fractions must be in lowest terms.
• Mixed numbers must be converted to improper fractions.