A paint color requires the ratio of green paint to yellow paint to be 4:9. a container of this paint has 36 pints of yellow paint. Write a proportion that gives the number g of pints of green paint in the container.

Proportion is the comparison of two ratios. Proportion compares the part of a whole of a number to the part of the whole of the another number. The number of green pints is 16 to maintain the ratio 4:9.

Given-

A paint color requires the ratio of green paint to yellow paint to be 4:9.

A container of this paint has 36 pints of yellow paint.

Proportion-

Proportion is the comparison of two ratios. Proportion compares the part of a whole of a number to the part of the whole of the another number.

The ratio of the green paint to yellow paint is given which is 4:9. Let r is the ratio thus,

[tex]\dfrac{g}{y} =\dfrac{4}{9}[/tex]

Now the container of the paint has total 36 number of yellow pints. Thus ratio will be,

[tex]\dfrac{g}{y}=\dfrac{g}{36}[/tex]

To maintain the ratio 4:9 the the ratio of both the obtained above must be equal.Thus the proportion that gives the number g of pints of green paint in the container is,

[tex]\dfrac{g}{36} =\dfrac{4}{9}[/tex]

Rewrite the equation as,

[tex]y=\dfrac{36\times4}{9}[/tex]

[tex]y=16[/tex]

Thus the number of green pints is 16 to maintain the ratio 4:9.

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