Amount of blue dye mixed with one gallon of white paint=[tex]\frac{3}{4}[/tex]
Amount needed for 8 gallons = [tex]\frac{3}{4}\times8=6[/tex] ounce
Amount of pink dye mixed with one gallon of white paint=[tex]\frac{2}{3}[/tex]
Amount needed for 8 gallons = [tex]\frac{2}{3}\times8= \frac{16}{3}[/tex] ounces
So, total dye required =[tex]6+\frac{16}{3}=\frac{18+16}{3}=\frac{34}{3}[/tex]
or
[tex]11\frac{1}{3}[/tex] ounces.
Hence, option C is correct.