How many pounds of coffee worth 10 dollars a pound should be added to 20 pounds of coffee worth 4 dollars a pound to get a mixture worth 5 dollars a pound
Let the number of pounds of $10 coffee==P
10P + 4*20 ==5*[P + 20]
10P + 80 ==5P + 100
10P - 5P ==100 - 80
5P ==20
P ==20 / 5 ==4 pounds of $10 per pound coffee.
Guests answer seems reasonable and they had a good way to approach it! (I was trying for ages lol)