From the information provided, the zoo nutritionist orders the following quantity of fruits;
[tex]\begin{gathered} 5\frac{1}{4}\text{ tons of apples} \\ 7\frac{2}{4}\text{ tons of bananas} \\ \text{Total}=5\frac{1}{4}+7\frac{2}{4} \\ \text{Total}=\frac{21}{4}+\frac{30}{4} \\ \text{Total}=\frac{51}{4}\text{ tons} \\ \end{gathered}[/tex]Next, we are told that the nutritionist orders 6 times as many tons of pellets than tons of fruits.
This means for every ton of fruit ordered, there was 6 tons of pellets ordered.
Therefore;
[tex]\begin{gathered} \text{Fruits:Pellets}=1\colon6 \\ \text{When fruits are }\frac{51}{4}tons \\ \text{Pellets}=\frac{51}{4}\times6 \\ \text{Pellets}=\frac{306}{4} \\ \text{Pellets}=76\frac{1}{2}tons \end{gathered}[/tex]ANSWER:
[tex]\text{Pellets ordered}=76\frac{1}{2}tons[/tex]