Answer:
Blend of Whole bean coffee used = 22.5 Ib
Blend of Half bean Coffee used = 2.5 lb
Correction in statement:
The problem statement is missing information. The proper statement is as follows:
Seattle Star blends whole bean coffee worth $3 per pound with half bean coffee worth $3.5 per pound to get 25 pounds of a coffee blend worth $3.05 per pound. How many pounds of each type of coffee does she use?
Step-by-step explanation:
Whole Bean Coffee = $3
Half Bean Coffee = $ 3.5
Amount of whole bean coffee in Pounds (lbs) = Y
Mixture amount of whole bean and half bean blend = 25 lbs
Amount of half bean coffee = 25-Y (lbs)
Total blended mixture = $3.05
Cost of mixture = Cost of whole bean coffee used + Cost of half bean coffee used
3.05 (25) = 3Y + 3.5 (25-Y)
76.25 = 3Y + 87.5 - 3.5 Y
76.25 - 87.5 = 3Y - 3.5Y
- 11.25 = - 0.5 Y
or
0.5 Y = 11.25
Y=[tex]\frac{11.25}{0.5}[/tex]
Y= 22.5 lb
Which is the amount of whole bean coffee.
Amount of half bean coffee = 25-Y = 25- 22.5 = 2.5 lb
So,
Blend of Whole bean coffee used = 22.5 lb
Blend of Half bean Coffee used = 2.5 lb
