The invention relates to a translucent and flexible polyamide-based composition, which is easy to process, in particular by extrusion, comprising: (A) from 50 weight-% to 95 weight-% 1) of at least one polyamide resin (I), 2) of various additives (IV) such as stabilizers, mould-release agents, lubricants, crystallization accelerators, pigments, organic and/or inorganic fillers or dyes, or antioxidizing agents, 3) optionally of at least one plasticizing agent (V), and (B) from 5 weight-% to 50 weight-%: (a) of at least one ethylene-alkyl (meth)acrylate-unsaturated dicarboxylic acid anhydride terpolymer (II), (b) of at least one ethylene-alkyl (meth)acrylate copolymer (III) with 1/30.ltoreq.(b)/(a).ltoreq.2. In accordance with the present invention, the flexural modulus of the composition, measured according to ISO standard 178, is less than or equal to 2/3 of the flexural modulus of the PA resin (I) alone and is strictly less than 750 MPa. This composition has good extrudability and can be used to make many articles, in particular pipes.