I need help with my algebra word problem homework!!!

Question

how many pounds of Brazilian coffee worth $5 per pound must be mixed with 20 pounds of Columbian coffee worth $4 per pound to produce a mixture worth $4.20 per pound?

Answer 1

5B + 4(20) = (B+20)*4.20

 

5B + 80 = 4.20(B+20)

 

5B + 80 = 4.20B + 84

 

5B + 80 - 4.20B - 84 = 0

 

0.8B - 4 = 0

 

0.8B = 4

 

8B = 40

 

B=5

 

5*5 + 20*4 = 25 + 80 = 105 = (25)(4.20)

 

5 pounds of Brazilian coffee