Problema Solution
Hanna runs a coffee house where chocolate almond coffee beans sell for $7.00 per pound. They also have hazlenut coffee beans for $6.10 per pound. Ellen asks Hanna to make a 6 pound mixture of the chocolate almond and hazlenut beans. How many pounds of each should be used so that the mixture costs $6.40 per pound?
Answer provided by our tutors
Cost of chocolate almond coffee beans = $7
Cost of hazelnut coffee beans = $6.10
Total weight required = 6 pounds
Cost required = $6.4
Total price for the required weight = 6*6.4 = $38.4
Let weight of almond coffee beans = x
=> Hazelnut coffee beans = 6 - x
=>Cost of the mixture = 7x + 6.1(6-x)
=> 7x + 36.6 - 6.1x = 38.4
=> 0.9x = 1.8
=> x = 1.8/.9
=> x = 2
=> Chocolate almond coffee beans = 2 pounds
=> Hazelnut coffee beans = 4 pounds