Jane is painting her room. She mixes 3 pints of blue paint with 4 pints of red paint to get her desired color. Which equation can be used to find the number of pints of blue paint (x) Jane should mix with 16 pints of red paint?

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Answer:

3/4 = 16/x

Step-by-step explanation:

Set up the original ratio: 3:4 (a.k.a. 3/4 or 3 to 4)

Because 16 correlates to red paint and 3 correlates to red paint the will be in the same location (as the numerator or denominator).

Also, the amount of blue paint is unknown so that is x. 4 also represents blue paint, so 4 and x will also be on the same level (as the numerator of denominator).

Setting up the equation: 3/4 = 16/x

The equation that can be used to find the number of pints of blue paint (x) Jane should mix with 16 pints of red paint is:

[tex]\frac{x}{16} = \frac{3}{4}[/tex]

Number of pints of blue paint mixed with 4 pints of red paints = 3

Number of pints of blue paints that would be mixed with 1 pint of red paint = 3/4

Number of pints of blue paints that would be mixed with 16 pints of red paint =

16  x  (Number of pints of blue paints that would be mixed with 1 pint of red paint)

Let the number of pints of blue paints that would be mixed with 16 pints of red paint be represented by x

x  =  16  x  3/4

This can be written properly in equation form as:

[tex]\frac{x}{16} = \frac{3}{4}[/tex]

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