Drew Butera had four of Kansas City's 16 hits, helping the Royals climb back over .500 at 59-58. Jorge Bonifacio hit his 15th homer, and Lorenzo Cain had two hits and two RBIs.
Jason Vargas (14-6) worked six innings to match his career high for wins set in 2012 with Seattle. The left-hander allowed three runs and six hits, struck out seven and walked two.
Tim Anderson hit a two-run homer for AL-worst Chicago, and Avisail Garcia added a two-run double.
