Thread: [SOLVED] Mixing three brands of coffee to get a required cost/kg of the final mix

Kelly blends coffee. She mixes brand A costing $6 per kilogram with brand B costing $8 per kilogram. How many kilograms of each brand does she have to mix to amke 50 kg of coffee costing her $7.20 per kg?

Originally Posted by Tessarina

Kelly blends coffee. She mixes brand A costing $6 per kilogram with brand B costing $8 per kilogram. How many kilograms of each brand does she have to mix to amke 50 kg of coffee costing her $7.20 per kg?

Welcome to the Forum

Let say she mixes xkg of coffeeA
its cost = $6x
So 50-x kg of coffee is mixed
its cost = $(50-x)8

Cost of 50 kg of coffee =50*7.2 =$360

hence

6x+(50-x)8 = 360

6x-8x= 360-400
2x=40
x= 20kg = amount of coffee A
50-x=30kg = amount of coffee B

Thanx a mill! u saved my butt!