Question

The Tasty as Pi Bakery has two locations! Each location offers the same flavors. Both locations display one pie of each flavor in a rectangle.

The downtown location has $4$ rows in its display. The uptown location has $6$ rows in its display. If one of the locations has a square display, how many pies are in each of the other location's rows?

Explain, in words, how to solve this problem. Use complete sentences. Write as though the person reading is one of your classmates who has not seen the problem before. Include any important observations you made and explain why you are doing anything that isn't totally obvious.

Answer 1

To find out the number of pies in each row at the other location, we have to consider which location has a square display, either 4x4 or 6x6. The uptown location must be the one with the square display since 16 pies cannot be evenly divided into 6 rows. Thus, with 36 pies at the uptown location, the downtown location would have 9 pies in each of its 4 rows.

Step-by-step explanation:

The problem presented involves figuring out the number of pies in each row at the Tasty as Pi Bakery's locations given that one location has a square display, and the other location has either 4 or 6 rows. A square display means that the number of pies per row is equal to the number of rows. Since the case of one location having a square display isn't specified, we must consider both possibilities: 4 rows by 4 pies for the square, or 6 rows by 6 pies for the square.

If the downtown location has a square display with 4 rows of 4 pies, then there are 16 pies in total. Given the uptown location has 6 rows, dividing these 16 pies equally among the 6 rows, we conclude it's not possible because 16 is not a multiple of 6. However, if the uptown location has the square display with 36 pies (6 rows by 6 pies in each), then we can determine how many pies would be in each of the 4 rows at the downtown location by dividing 36 pies by 4 rows. Therefore, each row at the downtown location would have 9 pies.