20 POINTS Delaney would like to make a 5 lb nut mixture that is 60% peanuts and 40% almonds. She has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds. 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 20% peanuts-80% almonds mixture.

(a) What is the system that models this situation? (8 points)
(b) Which of the following is a solution to the system
2 lb peanuts and 3 lb mixture;
2.5 lb peanuts and 2.5 lb mixture;
4 lb peanuts and 1 lb mixture? Show your work. (7 points)
ONLY ANSWER WITH WORK AND ANSWER IF YOU KNOW, MAKE IT EASY