The present invention provides polymer blends that can be used in a multilayer structure and to multilayer structures including one or more layers formed from such blends. In one aspect, a polymer blend includes a copolymer including ethylene and at least one of acrylic acid and methacrylic acid having an acid content greater than 4 and up to 25 weight percent based on the weight of the copolymer and having a melt index (I.sub.2) of 1 to 60 g/10 minutes, wherein the total amount of ethylene acrylic acid copolymer and ethylene methacrylic acid copolymer includes 45 to 99 weight percent of the blend based on the total weight of the blend, and a polyolefin having a density of 0.870 g/cm.sup.3 or more and having a melt index (I.sub.2) of 20 g/10 minutes or less, wherein the polyolefin includes 1 to 55 weight percent of the blend based on the total weight of the blend.