The present invention provides polymer blends that can be used in a multilayer structure and to multilayer structures comprising one or more layers formed from such blends. In one aspect, a polymer blend comprises (a) a copolymer comprising ethylene and at least one of acrylic acid and methacrylic acid having an acid content of 2 to 21 weight percent based on the weight of the copolymer, wherein the amount of copolymer (a) comprises 20-80 weight percent of the blend based on the total weight of the blend, and (b) a copolymer comprising ethylene and at least one of methyl acrylate and ethyl acrylate having an acrylate content of 5 to 30 weight percent based on the weight of the copolymer, wherein the amount of copolymer (b) comprises 10 to 50 weight percent of the blend based on the total weight of the blend, wherein the amount of copolymer (a) and copolymer (b) is at least 70 weight percent of the blend based on the total weight of the blend.