a.) A coffee company wants a new flavor ofcajun coffee. How many pounds of coffe

Question

a.)   A coffee company wants a new flavor ofcajun coffee. How many pounds of coffee worth $7 a poundshould be added to 20 pounds of coffee worth $4 a pound to get amixture worth $5 a pound? b.) How many pounds of coffee worth $7 a pound should be addedto 30 pounds ofcoffee worth $4 a pound to get a mixture worth $5 apound? a.)   A coffee company wants a new flavor ofcajun coffee. How many pounds of coffee worth $7 a poundshould be added to 20 pounds of coffee worth $4 a pound to get amixture worth $5 a pound? b.) How many pounds of coffee worth $7 a pound should be addedto 30 pounds ofcoffee worth $4 a pound to get a mixture worth $5 apound?

Explanation / Answer

a) Let x be the number of pounds of coffee worth $7. Then wehave
7x + 20(4) = 5(x+20) 7x + 80 = 5x + 100 2x = 20 x = 10     Answer: 10 pounds b) Let y be  number of pounds of coffee worth $7.Then we have 7y + 30(4) = 5(y+30) 7y + 120 = 5y + 150 2y = 30 y = 15 Answer: 15 pounds

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