Struggling to get my head around this.

I have six ingredients:

• Water
• Paprika
• Coriander
• Turmeric
• Cumin
• Rapeseed oil

They each have different percentages of total fat, and saturated fat. I want the amounts of each so that the total fat adds to 22.3 and the saturated fat adds to 1.9, but the overall weight adds to 100. This is easy to do for any one dimension, but I can't work out how to do it for two dimensions at once.

Anyone want to give me a clue?

FWIW, here are the values:

tot_fat['water']=0
tot_fat['paprika']=13
tot_fat['coriander']=0.5
tot_fat['turmeric']=10
tot_fat['cumin']=22
tot_fat['fennel']=0.2
tot_fat['cloves']=0
tot_fat['rapeseed_oil']=100
tot_fat['salt']=0
tot_fat['maize_flour']=0
tot_fat['acetic_acid']=0
tot_fat['citric_acid']=0
tot_fat['tamarind']=0
tot_fat['garlic_powder']=0
sat_fat={}
sat_fat['water']=0
sat_fat['paprika']=2.1
sat_fat['coriander']=0.52
sat_fat['turmeric']=3.1
sat_fat['cumin']=1.5
sat_fat['fennel']=0
sat_fat['cloves']=0
sat_fat['rapeseed_oil']=8
sat_fat['salt']=0
sat_fat['maize_flour']=0
sat_fat['acetic_acid']=0
sat_fat['citric_acid']=0
sat_fat['tamarind']=0
sat_fat['garlic_powder']=0