Barstucks is making a coffee blend The company bought 50 lbs

Barstucks is making a coffee blend. The company bought 50 lbs. of Kona beans at $34.95 per lb. and plans to mix these beans with Colombian beans that sell for $7.99 per lb. wholesale. If Barstucks wants the sell the blend at $11.95 per lb., how many lbs. of Colombian beans should it buy?

Solution

Let the quantity of Colombian beans bought by Barstucks be x lbs. Then the total quantity of coffee beans is x+50 lbs.The price of the coffee beans is (x+50)*11.95 which is also equal to 50*34.95+ 7.99x.Thus, (x+50)*11.95 = 50*34.95+ 7.99x or, 11.95x + 59.75 = 1747.50+7.99x or, 11.95x-7.99x = 1747.50-59.75 or, 3.96x = 1687.75 so that x = 1687.75/3.96 = 426.20 on rounding off to 2 decimal places). Thus, Barstucks should buy 426.20 lbs of Colombian beans.