Answer: Allyson got the large order of cheese sticks 5 times.
Step-by-step explanation: Given that Allyson loves to eat cheese sticks. A small order comes with 3 cheese sticks, and a large order comes with 6 cheese sticks.
Last month, Allyson ordered cheese sticks a total of 7 times and she received a total of 36 cheese sticks.
We are to find the number of times she got large order of cheese sticks.
Let x and y represent the number of times she got the small order and large order respectively of cheese sticks.
Then, according to the given information, we have

Multiplying equation (i) by 3, we have

Subtracting equation (iii) from equation (ii), we get

Thus, Allyson got the large order of cheese sticks 5 times.