2. How many cups of white paint should Elena mix with 12 tablespoons of bluepaint? How many batches would this make?


Let's begin by identifying key information given to us:
From the picture, 3 tablespoons of blue paint is equal to 1 cup of white paint
[tex]3Tablespoons(BluePaint)=1cup(WhitePaint)[/tex]To calculate how many cups of white paint is needed to mix 12 tablespoons of blue paint, we have:
[tex]\begin{gathered} 3Tablespoon(blue)=1cup(white) \\ 12Tablespoon(blue)=x \\ We\text{ will cross multiply, we have:} \\ 3\cdot x=1\cdot12 \\ 3x=12 \\ x=\frac{12}{3}=4 \\ x=4cup(white) \end{gathered}[/tex]This means that Elena will require 4 cups of white paint to mix 12 tablespoons of blue paint