At Whole foods they mix two kinds of nuts: peanuts which cost \$2.50 per kilogram and walnuts which cost \$4.50 per kilogram how many kilogram

Question

At Whole foods they mix two kinds of nuts: peanuts which cost \$2.50 per kilogram and walnuts which cost \$4.50 per kilogram how many kilograms of walnuts are needed to make 100 kg of a mix worth \$3.24 per kilogram

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4 months 2021-10-14T21:54:10+00:00 1 Answer 0 views 0

1. Answer: 37 kilograms of walnuts should be mixed.

Step-by-step explanation:

Let x represent the number of kilograms of peanuts needed to make the mixture.

Let y represent the number of kilograms of walnut needed to make the mixture.

The mixture to be made is 100 kg. It means that

x + y = 100

The worth of the mixture is \$3.24 per kilogram. It means that the total worth of the mixture is

3.24 × 100 = \$324

peanuts cost \$2.50 per kilogram and walnuts cost \$4.50 per kilogram. It means that

2.5x + 4.5y = 324- – – – – – – – – -1

Substituting x = 100 – y into equation 1, it becomes

2.5(100 – y) + 4.5y = 324

250 – 2.5y + 4.5y = 324

– 2.5y + 4.5y = 324 – 250

2y = 74

y = 74/2 = 37

x = 100 – y = 100 – 37

x = 63