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A man wants to make up 100 one-pound jars of nuts to sell for 66 cents a jar. He plans to use 40 pounds of nuts worth 75 cents a pound. What should be the unit price of the other type of nuts he uses

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whitneytr12

Answer:

x = 60 cents.

Step-by-step explanation:

The man wants to make up 100 one-pound jars of nuts, it means he will need 100 pounds of nuts. He plans to use 40 pounds of one type of nuts, so he needs 60 pounds of the other type of nuts to get 100 pounds.

Now, with this we can write a linear equation:

(40*0.75)+(60*x) = 100*0.66 (1)

Where:

  • 0.75 is the unit price of the 40 pounds of one type of nuts.
  • x is the unit price of the 60 pounds of the other type of nuts.
  • 0.66 is the unit price of 100 one-pound jars.

Let's solve the equation (1) for x:

[tex]x=\frac{100*0.66-40*0.75}{60}[/tex]

Therefore, x = 60 cents.

I hope it helps you!

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