Question

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.

Answer 1

16 pints of green paint

Explanation:

The ratio green paint to yellow is given as: 4:9, which we can translate in math terms as the quotient
`(4\,\,green)/(9\,\,yellow)`

if a container with this paint contains 36 pints of yellow paint, then the number of pints of green paint must follow the same ratio. That is:

4 green is to 9 yellow the same as x (unknown amount) green is to 36 pints of yellow:

`(4\,\,green)/(9\,\,yellow)=(x\,\,green)/(36\,pints\,yellow)`

We can solve for the unknown (x) amount of green paint, by multiplying both sides of the equation by 36 pints of yellow, thus isolating the unknown on one side:

`(4\,\,green\,*36\,pints\,\,yellow)/(9\,\,yellow)=x\,green\\x\,green = (4\,*\,36)/(9) pints\\x\,green=16\, pints`

Then the answer is that there must be 16 pints of green paint in the container.