A nut mixture of peanuts and pecans at a small fair is $1.00 per pound of peanuts and $2.85 per pound of pecans. Over the entire day, 97 pounds of the nut mixture were sold for $254.25. If p is the number of peanuts and n is the number of pecans, then the system of equations that models this scenario is:
p+n=97
p+2.85n=254.25