Anut mixture of walnuts and cashew nuts at a small fair is $1.00 per pound of walnuts and $4.19 per pound of cashew nuts. over the entire day, 121 pounds of the nut mixture were sold for $280.50. if p is the number walnuts and n is the number of cashew nuts, then the system of equations that models this scenario is: p+n=121p+4.19n=280.50 determine the correct description and amount of pounds for walnuts and cashew nuts that were sold.

50 pounds of cashews and 71 pounds of walnuts were sold.

Our system of equations is
p+n = 121
p+4.19n = 280.50

Since the coefficients of p are the same, we will begin solving this by subtracting the second equation from the first:



Divide both sides by -3.19:
-3.19n/-3.19 = -159.50/-3.19
n = 50

There were 50 pounds of cashews sold.

To find the value of p, the pounds of walnuts, substitute 50 in for n in the first equation:
p+n = 121
p+50 = 121

Subtract 50 from both sides:
p+50-50 = 121-50
p=71

71 pounds of walnuts were sold.