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. diemthu 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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