A coffee company mixes 1.6 pounds of French Roast beans with every 3.3 pounds of Kona beans. How many pounds of French Roast are needed to make 3000 pounds of coffee blend?

Respuesta :

Answer:

979.6 pounds of French Roast make 3000 pounds of coffee blend

Step-by-step explanation:

If we have 1.6 pounds of French Roast and 3.3 pounds of Kona beans, the total coffee blend is 4.9 pounds (1.6 + 3.3).

There are 1.6 pounds of French Roast for every 4.9 pounds of blend.

The amount of French Roast will increase with the total coffee blend.

Use proportions to solve in the form French Roast / Coffee blend.

[tex]\frac{1.6}{4.9} =\frac{x}{3000}[/tex]

Find how to get from 4.9 to 3000.

3000 ÷ 4.9 = 612.245 (Rounded to three decimals)

Multiply 1.6 by 612.245.

x = 979.592

x = 979.6     Round to one decimal place like in the question

Therefore 979.6 pounds of French Roast is needed.