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The Comfort Coffee Company wants to mix 10 pounds of their Smooth blend worth $ 5 a pound with their Special blend worth $ 7 a pound in order to create a new blend of coffee worth $ 5.50 a pound. How many pounds of the Special blend should be added to the Smooth​ blend?

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thaovtp1407

Answer:

10/3 pounds

Explanation:

Let x is the pounds of special blend  to be added

5*10 = 50 is the dollars worth of  the smooth blend is being used

Then we have the equation:

[tex]\frac{7x + 50}{x + 10}[/tex] = 5.5

<=> 7x +50 = 5.5x +55

<=> 1.5x = 5

<=> x= 5/1.5 =10/3

So  10/3 pounds of special blend   must be added