Cookies are sold singly or in packages of 13 or 39. with this packaging, how many ways can you buy 78 cookies?

3 different ways

Those three ways, I'll label as A, B, and C

A) Buying the 78 cookies one at a time

B) Buying 6 packs of the 13-count cookies, so 13*6 = 78 cookies total.

C) Buying 2 packs of the 39-count cookies, so 2*39 = 78 cookies total

For option A, we can imagine a rectangle that is 1 unit high and 78 units long giving an area of 1*78 = 78. Or we can imagine a single row of 78 cookies in this row.

In option B, we can have a rectangle that is 13 by 6, giving an area of 78. Or We could have 6 rows of 13 cookies per row (each row representing a package of cookies).

Option C would be similar to B, instead there would be 2 rows of 39 cookies per row.

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