A product for oxidatively changing the color of keratin fibers, comprising at least two preparations and prepared separately from one another, wherein - the first preparation contains, in a cosmetic carrier, hydrogen peroxide, and one or more fatty constituents in a total amount by weight of 0.1 to 40 wt.%, based on the total weight of the preparation, - the second preparation contains, in a cosmetic carrier, at least one alkalizing agent, and one or more fatty constituents in a total amount by weight of 0.1 to 40 wt.%, based on the total weight of the preparation, and - the weight ratio / has a value of 0.5 to 2.0, - the preparation is packaged in a first container (container A) which comprises at least two layers, wherein - an inner layer of the container A comprises a layer made of a synthetic polymer, and - an outer layer of the container A comprises a layer made of metal, and - the container A is a bag having a total layer thickness of 2 to 400 μm (micrometers), - the preparation is packaged in a second container (container B) which comprises at least two layers, wherein - an inner layer of the container B comprises a layer made of a synthetic polymer, and - an outer layer of the container B comprises a layer made of metal, and - the container B is a bag having a total layer thickness of 2 to 400 μm (micrometers). - the first preparation contains, in a cosmetic carrier, hydrogen peroxide, and one or more fatty constituents in a total amount by weight of 0.1 to 40 wt.%, based on the total weight of the preparation, hydrogen peroxide, and one or more fatty constituents in a total amount by weight of 0.1 to 40 wt.%, based on the total weight of the preparation, - the second preparation contains, in a cosmetic carrier, at least one alkalizing agent, and one or more fatty constituents in a total amount by weight of 0.1 to 40 wt.%, based on the total weight of the preparation, and at least one alkalizing agent, and one or more fatty constituents in a total amount by weight of 0.1 to 40 wt.%, based on the total weight of the preparation, and - the weight ratio / has a value of 0.5 to 2.0, - the preparation is packaged in a first container (container A) which comprises at least two layers, wherein - an inner layer of the container A comprises a layer made of a synthetic polymer, and - an outer layer of the container A comprises a layer made of metal, and - the container A is a bag having a total layer thickness of 2 to 400 μm (micrometers), - an inner layer of the container A comprises a layer made of a synthetic polymer, and - an outer layer of the container A comprises a layer made of metal, and - the container A is a bag having a total layer thickness of 2 to 400 μm (micrometers), - the preparation is packaged in a second container (container B) which comprises at least two layers, wherein - an inner layer of the container B comprises a layer made of a synthetic polymer, and - an outer layer of the container B comprises a layer made of metal, and - the container B is a bag having a total layer thickness of 2 to 400 μm (micrometers). - an inner layer of the container B comprises a layer made of a synthetic polymer, and - an outer layer of the container B comprises a layer made of metal, and - the container B is a bag having a total layer thickness of 2 to 400 μm (micrometers).