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walnuts cost $3.60 per pound and peanuts cost $2.70 per pound. For a fundraiser, the softball team will be selling bags of mixed nuts. How many punds of walnuts and how many pounds of peanuts should the team buy in order to make a 60 pound . ixture that will sell for $3.00 per pound?

Respuesta :

Answer: 20 pounds of walnuts should be mixed with 40 pounds of peanuts.

Step-by-step explanation:

Let x represent the number of pounds of walnuts that should be in the mixture.

Let y represent the number of pounds of peanuts that should be in the mixture.

The number of pounds of the mixture to be made is 60. This means that

x + y = 60

Walnuts cost $3.60 per pound and peanuts cost $2.70 per pound. The mixture will sell for $3.00 per pound. It means that the total cost of the mixture is 3 × 60 = $180. The expression would be

3.6x + 2.7y = 180- - - - - - - - - - - - -1

Substituting x = 60 - y into equation 1, it becomes

3.6(60 - y) + 2.7y = 180

216 - 3.6y + 2.7y = 180

- 3.6y + 2.7y = 180 - 216

- 0.9y = - 36

y = - 36/ - 0.9

y = 40

x = 60 - y = 60 - 40

x = 20

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