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

Answer 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