a parts dilemma

Question

A food preparation has 37 ingredients. of this, 27 ingredients are in 3 parts, 6 ingredients in 12 parts, 1 ingredient in 24 part, 1 ingredient in 48 and 2 ingredients in 96 parts. How do I crack this ratio, say, if I were to prepare 100 kilograms of food

Answer 1

There are 37 ingredients. Of these 27 are in 3 parts, or 81 parts in total; 6 are in 12 parts, or 72 parts in total; 1 is in 24 parts, 1 is in 48 parts, and 2 are in 96 parts, or 192 parts in total.

Add up the total parts: 81+72+24+48+192 = 417

Each part weighs 100/417 = 0.2398 ~ 0.24 kg.

Therefore, the ingredients would total 0.24*81 + 0.24*72 + 0.24*24 + 0.24*48 + 0.24*192 =

19.44 kg + 17.28 kg + 5.76 kg + 11.52 kg + 46.08 kg = 100.08 (due to rounding) = 100 kg