The coffee shop blends two kinds of coffee: 2 parts of the 33p per pound grade and 1 part of the 24p per pound grade. If the mixture changes to 1 part of the 33p grade to 2 parts of the cheaper 24p grade, the shop will save in blending 100 pounds. Let's calculate the costs: Original blend (2 parts 33p + 1 part 24p):
- 2 parts of 33p = 2 × 33 = 66p
- 1 part of 24p = 24p
- Total cost for the original blend = 66p + 24p = 90p per 3 parts
New blend (1 part 33p + 2 parts 24p):
- 1 part of 33p = 33p
- 2 parts of 24p = 2 × 24 = 48p
- Total cost for the new blend = 33p + 48p = 81p per 3 parts
Difference in cost per 3 parts = 90p - 81p = 9p Since the blending is for 100
pounds, and the cost difference per 3 parts is 9p, the total saving will be:
(100 pounds ÷ 3 parts) × 9p = 300p or Rs. 3 in total for 100 pounds The shop
will save Rs. 3 in blending 100 pounds by changing the mixture to 1 part of
the 33p grade and 2 parts of the less expensive grade.
