Nigel's Coffee
Algebra
Level
1
Nigel owns a coffee shop and wants to create a new blend called, "Nigel's Special Blend". How much coffee that costs $3 a pound should he mix with 5 pounds of coffee that costs $3.50 a pound to obtain "Nigel's Special Blend" that cost $3.25 a pound?
4 pounds
6 pounds
7 pounds
5 pounds
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Final cost,ie, cost of Nigel's special blend = $3.25 Now lets assume he uses "X" pounds of $3 coffee.As per the problem,"X" pounds of $3 coffee when mixed with "5" pounds of $3.50 coffee,the resultant blend cost $3.25 a pound. [(X 3)+(5 3.5)]/(X+5) = 3.25 3X + 17.5 = 16.25 + 3.25X X=5 where "X" is the quantity of "$3" coffee to be mixed.{One of the easy problem :) }