Answer:
One and a half cans of blue paint 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, for every 4 cans of yellow paint, 3 cans of blue paint is needed.
Therefore, for every 2 cans of yellow paint, 'x' cans of blue paint is needed.
Setting up a proportion and solving by cross multiplication method, we get:
[tex]\frac{4}{3}=\frac{2}{x}\\\\4\times x=3\times 2\\\\4x=6\\\\x=\frac{6}{4}\\\\x=1.5[/tex]
Therefore, one and a half cans of blue paint is needed for 2 cans of yellow paint.