554 CHAPTER XXVII 



Sugar in mixed juice X 100 



— 5 — j^ : — = extraction . . 94 "23 



Sugar in cane 



^., . . , . . 20-9 — 19-0 X 100 



Dilution per cent, mixed juice — ^.^ 



Dilution per cent, normal juice 



Added water in mixed juice 

 Added water in bagasse 

 Bagasse due to cane 

 Normal juice extracted 



Normal juice per cent, cane 



^ ^ 1115-3 



Or alternatively 91 -15 X (i —0-0909) = 82-86 



Case 3. — A number of recently erected houses have installed apparatus 

 for automatic weighing of the added water. In this case a positive control 

 results, and the weight of bagasse is obtained by the difference between 

 Canes + water — mixed juice. 



The weights of material once known, the calculations are made precisely 

 as in case 2. 



This method is the most rational. 



Case 4. — The extraction and other results can also be obtained from analy- 

 tical data only, as in the following example : — 

 Sucrose per cent, cane (by analysis) 12-81 

 Fibre per cent, cane ,, 11-00 



Sucrose per cent, bagasse ,, 4-00 



Fibre per cent, bagasse ,, 44-00 



Bagasse per cent, cane — X 100 — 25-00 

 44 



c^ • , . 25 X 4 

 Sucrose m bagasse per cent, cane = i-oo 



Sucrose in juice per cent, cane 12-81 — i-oo = 11 -81 



T- X .• ii-8i 



Extraction = ^ X 100 = 92 -ig 



I2-8l ^ ^ 



This method was first used by leery. ^ Inferential methods and the direct 

 determination of sucrose and of fibre in the cane do not now form a part 

 of the usual routine. They have a real value, however, in checking the re- 

 sults obtained from direct weighing, especially when abnormal results appear 

 and when there ma}^ be reason to suspect collusion between vendors of cane 

 and weigh-bridge operatives. 



Case 5. — If the juice of the cane were of uniform composition, the relation. 

 Sugar per cent, cane = sugar per cent, first expressed juice (i — /) where 

 /is the fibre per unit of cane, would hold. 



Actually the substitution of — / for / gives results close to the truth. 



This relation is of use for mental and preliminary calculations, and any large 

 departure from it implies an error in weights, analysis or calculation. The 



