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A coffee company wants a new flavor of cajun coffe. How many pounds of coffe worth $10 a pound should be added to 30 pounds of coffe worth $3 a pound to get a mixture worth $5 a pound

Respuesta :

Answer: 12 pounds of coffe worth $10 a pound should be added

Step-by-step explanation:

Let x represent the number of pounds of coffee worth $10 a pound that should be added. The total cost of x pounds would be $10x

It was added to 30 pounds of coffee worth $3 a pound. Total cost of this coffee = 3 × 30 = 90

The mixture made is worth $5 per pound. The total cost of the mixture would be

5(x + 30) = 5x + 150

Therefore,

10x + 90 = 5x + 150

10x - 5x = 150 - 90

5x = 60

x = 60/5 = 12

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