Answer: The required number of large order of chicken tenders is 5.
Step-by-step explanation: Given that Sheila loves to eat chicken tenders. A small order comes with 5 chicken tenders, and a large order comes with 8 chicken tenders.
Last month, Sheila ordered chicken tenders a total of 7 times. She received a total of 50 chicken tenders.
We are to find the number of large chicken tenders received by Sheila.
Let x and y represents the number of small orders and large orders respectively of chicken tenders.
Then, according to the given information, we have

and
![5x+8y=50\\\\\Rightarrow 5(7-y)+8y=50~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~[\textup{Using equation (i)}]\\\\\Rightarrow 35-5y+8y=50\\\\\Rightarrow 3y=50-35\\\\\Rightarrow 3y=15\\\\\Rightarrow y=(15)/(3)\\\\\Rightarrow y=5.](https://img.qammunity.org/2019/formulas/mathematics/middle-school/dy74m2f7aqz2avxeh0kgumkp14oyyoeugr.png)
Thus, the required number of large order of chicken tenders is 5.