Question

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. She received a total of 36 cheese sticks. How many times did she get the large order of cheese sticks?

Answer 1

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 2

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

$x+y=7~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\3x+6y=36~~~~~~~~~~~~~~~~~~~~~~~~(ii)$

Multiplying equation (i) by 3, we have

$3x+3y=21~~~~~~~~~~~~~~~~~~~~~~(iii)$

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

$(3x+6y)-(3x+3y)=36-21\\\\\Rightarrow 3y=15\\\\\Rightarrow y=5.$

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