A coffee shop blends 2 kinds of coffee,putting in 2 parts of a 33p. a gm. grade to 1 part of a 24p. a gm.If the mixture is changed to 1 part of the 33p. a gm. to 2 parts of the less expensive grade,how much will the shop save in blending 100 gms.

One Answer on this Question

1. Initially (2*33 + 1*24)/(2+1) = 30p a gm
   So, cost for 100g = 100*30 = 3000p

   Later, (1*33 + 2*24)/(1+2) = 71/3 p a gm.
   So, cost for 100g = 100*(71/3) = 2366.67p

   He saves 3000 – 2366.67 = 633.33p

   Concept of weighted average.

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