Question

Sarah meham blends coffee for tasty delight. she needs to prepare 130 pounds of blended coffee beans selling for for $3.48 per pound. she plans to do this by blending together a high-quality bean costing $4.75 per pound and a cheaper bean at $2 per pound. to the nearest pound find how much high quality coffee bean and how much cheaper coffee bean she should blend.

Answer 1

Given data:

Assume x is the high quality beans, then (130-x) is cheap quality beans.

The expression for teh total cost of the coffee is,

4.75(x)+2(130-x)=3.48(130)

2.75x=452.4-260

2.75x=192.4

x=69.9636

x=70 pound

and cheap qualiity beans is (130-70)=60 pounds.

Thus, high quality beans is 70 pouns