Answer:
<u>One and a half cans of blue paint</u> is needed for 2 cans of yellow paint.
Step-by-step explanation:
Let the number of blue paint needed be 'x'.
Given:
The ratio of number of yellow paint to blue paint = 4 : 3
So, <em>for every 4 cans of yellow paint, 3 cans of blue paint is needed.</em>
Therefore,<em> for every 2 cans of yellow paint, 'x' cans of blue paint is needed.</em>
Setting up a proportion and solving by cross multiplication method, we get:
![\frac{4}{3}=\frac{2}{x}\\\\4\times x=3\times 2\\\\4x=6\\\\x=\frac{6}{4}\\\\x=1.5](https://tex.z-dn.net/?f=%5Cfrac%7B4%7D%7B3%7D%3D%5Cfrac%7B2%7D%7Bx%7D%5C%5C%5C%5C4%5Ctimes%20x%3D3%5Ctimes%202%5C%5C%5C%5C4x%3D6%5C%5C%5C%5Cx%3D%5Cfrac%7B6%7D%7B4%7D%5C%5C%5C%5Cx%3D1.5)
Therefore, one and a half cans of blue paint is needed for 2 cans of yellow paint.