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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