The investigator has developed a study that will investigate the use of montelukast in total vs placebo as well as allow them to look for dosing effects within montelukast in the treatment of eosinophilic esophagitis. The primary objective is to evaluate if montelukast will keep eosinophil counts low enough for the patient to remain in remission and if so, is there a particular dose of montelukast that will achieve this in a greater proportion. All patients will be maintained on a proton pump inhibitor (PPI) at baseline so that patients receiving placebo will still receive standard of care treatment. Many GI practitioners at this institution will place patients with EE on montelukast as part of standard of care treatment at varying doses without any good literature to support this use. The investigator's goal is to determine if montelukast is a valuable therapy in the treatment of EE. The investigator's study will also evaluate histological stains that may show an improvement with the use of montelukast, even if the eosinophil counts do not change, as the chemicals released by eosinophils and mast cells may be of primary import in the continuation of EE.