It is a story problem. Courtney has 27 chocolate chip cookies and 36 oatmeal raisin cookies. She needs to arrange them on trays. She doesnt want to combine either type of cookies and she wants the same number on each tray. What is the largest number of cookies she can hve on each tray?

Notice that 9 is the largest common factor of both 36 and 27

so we place the chocolate cookies on 3 trays of 9 each
and the oatmeal cookies on 4 trays of 9 each.

looks like 9 is the number you are looking for.

Yes the answer is 9 period.

Oh that makes sense. I forgot to look at the largest common factor. Thank you, I was thinking it was every other and how many can fit onto a tray! Thank you! That may help me in my other problem as well!

rgrehy

i think

Mad

To find the largest number of cookies that Courtney can have on each tray, we need to find the greatest common divisor (GCD) of 27 and 36. The GCD is the largest number that divides both 27 and 36 without leaving a remainder.

One way to find the GCD is by listing the factors of both numbers and finding the greatest common factor. Let's list the factors of 27 and 36:

Factors of 27: 1, 3, 9, 27
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

The largest common factor between 27 and 36 is 9. Therefore, Courtney can have 9 cookies on each tray.