Problema Solution
Sarah Meeham blends coffee for Tasti-Delight. She needs to prepare 150 pounds of blended coffee beans selling for $4.67 per pound. She plans to do this vy blending together a high-quality bean costing $5.50 per pound and a cheaper bean at $3.00 per pound. To the nearest pound, find how much high-quality coffee bean and how much cheaper coffee bean she should blend.
Answer provided by our tutors
let
h = high-quality coffee bean used
c = cheaper coffee bean used
She needs to prepare 150 pounds of blended coffee beans selling for $4.67 per pound
h + c = 150
the cost of the high-quality coffee + the cost of the cheaper coffee = the cost of 150 pounds of blended coffee by the cost of $4.67 per pound
5.50h + 3.00c = 150*4.67
by solving the system of equations
h + c = 150
5.50h + 3.00c = 150*4.67
we find
h = 100 lbs
c = 50 lbs
click here to see the step by step solution of the system of equations
100 pounds high-quality coffee beans and 50 lbs cheaper coffee beans are used to make the desired blend.