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A company sells a mix of peanuts and cashews. For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounces of peanuts. How many ounces of cashews will a batch have?

Respuesta :

3:2  ratio    60:?

60 divided by 3 is 20

therefore 2 x 20 = 40 

40 cashews

Answer:

Proportion states that the two ratios or fraction are equal.

As per the given statement: For every 3 ounces of peanuts, there are 2 ounces of cashews. A batch has 60 ounces of peanuts.

Let x be the ounces of cashew will a batch have.

then by definition of proportion, we have;

[tex]\frac{3}{2} = \frac{60}{x}[/tex]

By cross multiply we have;

[tex]3x = 120[/tex]

Divide by 3 on both sides we get;

[tex]x = 40[/tex]

therefore, 40 ounces of cashews will a batch have for every 60 ounces of peanuts.


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