Answer:
(a)
(b) correct choice is 2.5 lb peanuts and 2.5 lb mixture (2.5, 2.5);
Step-by-step explanation:
Let p represent the number of pounds of peanuts needed to make the new mixture, and let m represent the number of pounds of the 80% almond-20% peanut mixture.
1. In m pounds of the 80% almond-20% peanut mixture there are 0.8m pounds of almonds and 0.2m pounds of peanuts.
2. When added p pounds of peanuts to m pounds of mixture, you get (p+0.2m) pounds of peanuts and 0.8m pounds of almonds.
3. In 5 pounds of the 40% almond-60% peanut mixture there are pounds of peanut and
pounds of almonds.
(a) Then you get a system of two equations:
(b) Solve this system. From the first equation
then