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Mixed nuts which cost 6/1bs are made by combining walnuts which cost 4/1bs with peanuts which cost 12/1bs. find the number of 1/bs of walnuts and peanuts required to make 8/1bs of mixed nutas

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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.

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