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A coffee distributor needs to mix a Rift Valley coffee blend that normally sells for $9.10 per pound with a Mexican Shade Grown coffee blend that normally sells for $14.50 per pound to create 80 pounds of a coffee that can sell for $13.08 per pound. How many pounds of each kind of coffee should they mix? _________________________ pounds of the Mexican Shade Grown Blend.Round your answers to the nearest whole number of pounds

Respuesta :

Given

Total 80 pounds of a coffee

Find

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

Explanation

Let x be the pounds of the Mexican Shade Grown Blend.

so , 80 - x be the pounds of the Rift Valley

according to the question

9.10(80-x)+14.50x=13.08*80

[tex]\begin{gathered} 9.10(80-x)+14.50x=13.08\times80 \\ 728-9.10x+14.50x=1046.4 \\ 5.4x=318.4 \\ x=58.96\approx59 \end{gathered}[/tex]

pounds of the Rift Valley = 80-59 = 21

Final Answer

Therefore , 59 pounds of the Mexican Shade Grown Blend and 21 pounds of the Rift valley.,

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