Allyson loves to eat cheese sticks. A small order comes with 3 cheese sticks, and a large order comes with 6 cheese sticks....
Answer : 5
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
[tex]x+y=7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x+6y=36~~~~~~~~~~~~~~~~~~~~~~~~(ii)[/tex]
Multiplying equation (i) by 3, we have
[tex]3x+3y=21~~~~~~~~~~~~~~~~~~~~~~(iii)[/tex]
Subtracting equation (iii) from equation (ii), we get
[tex](3x+6y)-(3x+3y)=36-21\\\\\Rightarrow 3y=15\\\\\Rightarrow y=5.[/tex]
Thus, Allyson got the large order of cheese sticks 5 times.
