1458. To Reduce Spirit of a Given Number Above Proof to Proof Spirit, by the Substitution of Water for Spirit

1458. To Reduce Spirit of a Given Number Above Proof to Proof Spirit, by the Substitution of Water for Spirit. Multiply the number of gallons by 100, then add the number which the spirit is above proof to 100, and divide the above product by the number thus obtained; subtract the quotient from the number expressing the original quantity of spirit, and the answer will give the number of gallons to be removed from the spirit and replaced with water, in order to reduce the high proof spirit down to proof.

Suppose you want to reduce a cask of 24 gallons of spirit 20 above proof to proof spirit.

Above

proof,

20 24

 
   

100 100

 
 

.

120)2,400(20

 
   

Original quantity

24

     

20

   

Answer,

4

It will be seen by the above example that 4 gallons have to be taken from the spirit and the same quantity of water added, to reduce it to proof.

1459. To Raise Spirit of a Given Number Under Proof to a Required Strength Above Proof, by the Substitution of High Proof Spirit

1459. To Raise Spirit of a Given Number Under Proof to a Required Strength Above Proof, by the Substitution of High Proof Spirit. Multiply the number of gallons by the number expressing the difference in degrees of strength between the high proof spirit to be added and the required degree to which it is to be raised. Divide the product thus found by a number to be obtained by adding the given number below proof to the number the high spirit is above proof; then subtract the quotient from the original number of gallons, and the remainder will show the quantity of low spirit to be removed and its place supplied by the addition of the same quantity of high proof spirit.

Suppose you desire to raise a cask of 40 gallons at 10 below proof to 15 above proof, by means of spirit 40 above proof:

 

40

40 A. p.

40 number of gals.

15

10 B. B.

25 multiplied by diff.

Diff.

25

50

)1000(20

 

40 gals, original quantity to be raised.

20 deduct quotient.

20 answer.

 

The above example shows that 20 gallons should be taken from the low proof spirit, and the same quantity of spirit added at 40 above proof, to raise it to 15 above proof.