Question

A coffee distributor needs to mix a Queen City coffee blend that normally sells for $8.30 per pound with a Kona coffee blend that normally sells for $13.20 per pound to create 70 pounds of coffee that can sell for $8.65 per pound. How many pounds of each kind of coffee should they mix? ________________pounds of the Queen City Blend____________________ pounds of the Kona Blend.Round your answers to the nearest whole number of pounds.

Answer 1

Given

Total pound coffee create = 70

Find

How many pounds of each kind of coffee should they mix?

Step-by-step explanation

Let x = pounds of Queen City coffee blend

y = pounds of Kona Blend.

accordig to the question ,

the new mix is 70 pounds

so , x + y = 70 ..................(1)

and sells for $ 8.65 per pound

so , 8.30x + 13.20y = 70*8.65.............(2)

solve equation 1 and 2

`\begin{gathered} x+y=70 \\ 8.30x+13.20y=605.5 \end{gathered}`

on solving these linear equation , we obtain

`x=65,y=5`

Final Answer

Therefore , 65 pounds of the Queen City Blend and 5 pounds of the Kona Blend.