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10 April, 13:27

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

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  1. 10 April, 17:15
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    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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