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16) The manager of a bulk foods establishment sells a trail mix for $8 per
pound and premium cashews for $15 per pound. The manager wishes to
make a 35-pound trail mix-cashew mixture that will sell for $14 per
pound. How many pounds of each should be used?​

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Answer:

The amount of peanuts to use is 5 pounds and that of cashews is 30 pounds.

Step-by-step explanation:

Let the amount of peanut to use to be x

Let the amount of cashews to use to be 35-x

Form equations to compare amounts for individual foods and the mixture

[tex]8x+15(35-x)=35(14)\\\\8x+525-15x=490\\\\7x=35\\\\x=5\\\\[/tex]

So the pounds to be used for peanuts is 5 pounds

The pounds to be used for cashews will be 35-x= 35-5=30 pounds

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