Answer: He used 765 grams of blueberries.
Step-by-step explanation:
The quantity of blueberries is directly proportional to the quantity of smoothie.
Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]
Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]
[tex]y_2=54\text{ fluid ounces}[/tex]
To find : [tex]x_2[/tex]
[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]
[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]
Hence, he used 765 grams of blueberries.