A product for oxidatively changing the color of keratin fibers, comprising at least two preparations (A) and (B) prepared separately from one another, wherein - the first preparation (A) contains, in a cosmetic carrier, (A1) hydrogen peroxide, and (A2) one or more fatty constituents in a total amount by weight (G1) of 0.1 to 40 wt.%, based on the total weight of the preparation (A), - the second preparation (B) contains, in a cosmetic carrier, (B1) at least one alkalizing agent, and (B2) one or more fatty constituents in a total amount by weight (G2) of 0.1 to 40 wt.%, based on the total weight of the preparation (B), and - the weight ratio (G1)/(G2) has a value of 0.5 to 2.0, - the preparation (A) 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 (I), 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 (B) 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 (I), 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 (A) contains, in a cosmetic carrier, (A1) hydrogen peroxide, and (A2) one or more fatty constituents in a total amount by weight (G1) of 0.1 to 40 wt.%, based on the total weight of the preparation (A), (A1) hydrogen peroxide, and (A2) one or more fatty constituents in a total amount by weight (G1) of 0.1 to 40 wt.%, based on the total weight of the preparation (A), - the second preparation (B) contains, in a cosmetic carrier, (B1) at least one alkalizing agent, and (B2) one or more fatty constituents in a total amount by weight (G2) of 0.1 to 40 wt.%, based on the total weight of the preparation (B), and (B1) at least one alkalizing agent, and (B2) one or more fatty constituents in a total amount by weight (G2) of 0.1 to 40 wt.%, based on the total weight of the preparation (B), and - the weight ratio (G1)/(G2) has a value of 0.5 to 2.0, - the preparation (A) 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 (I), 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 (I), 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 (B) 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 (I), 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 (I), 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). <EOS>