A coffee company wants a new flavor of Cajun How many pounds

A coffee company wants a new flavor of Cajun. How many pounds of coffee worth $7 should be added to 10 pounds of coffee worth $3 to get a mixture worth $5 a pound?

Solution

Let amount added of worth $7 is x pounds, then set up as

x*7 +10 *3 = (10+x)*5

7x +30= 50 +5x

7x-5x = 50-30

2x = 20

x =20/2

x =10

Thus,

10 pounds of coffee worth $7 should be added.