Answer:
16 pints of green paint
Step-by-step explanation:
The ratio green paint to yellow is given as: 4:9, which we can translate in math terms as the quotient [tex]\frac{4\,\,green}{9\,\,yellow}[/tex]
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:
[tex]\frac{4\,\,green}{9\,\,yellow}=\frac{x\,\,green}{36\,pints\,yellow}[/tex]
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:
[tex]\frac{4\,\,green\,*36\,pints\,\,yellow}{9\,\,yellow}=x\,green\\x\,green = \frac{4\,*\,36}{9} pints\\x\,green=16\, pints[/tex]
Then the answer is that there must be 16 pints of green paint in the container.
