Question

Seattle star blends whole bean coffee worth $3.00 per pound to get 25 pounds of a coffee blend worth $3.50 per pound. How many pounds of both blends does she use?

Answer 1

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?

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=
`(11.25)/(0.5)`

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