9. Sherry wine is a blend of different wines. 200 kg of sherry was being produce

Question

9.     Sherry wine is a blend of different wines. 200 kg of sherry was being produced by blending 3 different wines. Alcohol and sugar content of wines are given in the Table below. If the desired alcohol and sugar contents of the sherry blend are 16% w/v, and 3% w/v, calculate the amount of each wine needed to produce the sherry.

Wine

Alcohol, w/v %

Sugar % w/v

Wine A

14.6

0.2

Wine B

16.7

1.0

Wine C

17

12

  

Wine

     

Alcohol, w/v %

     

Sugar % w/v

     

Wine A

     

14.6

     

0.2

     

Wine B

     

16.7

     

1.0

     

Wine C

     

17

     

12

  

Explanation / Answer

Let the amount of wine A , B and C be A , B & C kg

so ... A + B + C = 200

14.6 A + 16.7 B + 17 C = 16*200

0.2 A + B + 12 C = 3 *200

on solving we get

A = 72.6159 B = 85.7393 C = 41.6448

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