Question

How many pounds of arabica coffee should you mix with 5 pounds of robusta coffee to make a coffee blend that costs $12.00 per pound?

Answers

  1. Approximately 1.02lb of arabica coffee should be mixed with 5lb of robusta coffee to make a coffee blend that costs $12.00 per pound.
    Let x lb be the amount of arabica coffee that should be mixed with 5lb robusta.
    Thus, total cost of Arabica coffee= $28*x
    and since cost of robusta coffee per pound is $8.75, thus cost for 5lb= $8.75*5= $43.75
    also, total amount of coffee for coffee blend = x+5
    thus, total cost for coffee blend= $12(x+5)
    Since, Arabica+ Robusta= Mixture
       ⇒ $28*x + $43.75 = $12(x+5)
       ⇒ $28*x + $43.75 = $12x + $60
       ⇒ $28*x – $12x = $60 – $43.75
       ⇒$16x = $ 16.25
       ⇒ x = 1.0156 ≈ 1.02lb
    hence, 1.02 pounds of arabica coffee should you mix with 5 pounds of robusta coffee to make a coffee blend that costs $12.00 per pound
    The question is incomplete, complete question is as follows:
    Arabica coffee costs $28 per pound and Robusta coffee costs $8.75 per pound. How many pounds of Arabica coffee should you mix with 5 pounds of Robusta coffee to make a coffee blend that costs $12.00 per pound?
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