Final answer:
To find the required amounts of walnuts and peanuts needed to make 8 pounds of mixed nuts at a cost of $6 per pound, set up and solve a system of equations using the given costs and total weight.
Step-by-step explanation:
To determine how many pounds (1/bs) of walnuts and peanuts are required to make 8/1bs of mixed nuts, we need to use a system of equations. Let x be the number of walnuts and y be the number of peanuts needed.
The first equation represents the ratio in terms of weight and cost:
4x + 12y = 6(8)
The second equation comes from the total weight of the mixed nuts:
x + y = 8
By solving this system, you can find the exact amount of walnuts and peanuts needed to make 8 pounds of mixed nuts.