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 9 times. She received a
total of 42 cheese sticks. How many times did she get the large order of
cheese sticks?​

Answer 1

5 orders of (6 sticks ) + 4 orders of (3 sticks) = 42

Explanation:

42 = 3(small) + 6(large)

also, 1 large = 2small

42 = 3s + 6(2s)

42 = 3s + 12s

42 = 15s

42/15 = 2.8 close to 3.

3(3) + 6(l) = 42

9 + 6(l) = 42

6(l) = 42 -9

l = 33/6 = 5.5 close to 5

5(6) + 4(3) = 42

Not sure if this makes entire sense ...

Answer 2

For this case we have to:

x: Represents an order of small sticks

y: Represents an order of large sticks

We have to:

`x + y = 9\\3x + 6y = 42`

From the first equation we have to:

`x = 9-y`

Substituting in the second:

`3 (9-y) + 6y = 42\\27-3y + 6y = 42\\3y = 42-27\\3y = 15\\y = \frac {15} {3}\\y = 5`

Thus, he obtained 5 times the order of large sticks.

Answer:

5 times