Question

What is the answer for this? The Glee club has 120 cupcakes to sell. They have decided to arrange the cupcakes in the shape of a rectangle, such that the rows have an even number of cupcakes and the columns have an odd number of cupcakes. How many arrangements of cupcakes can they create? Please answer how many arrangements of cupcakes they can make?!?!? Thx

Answer 1

Answer: 4

Explanation:

Find all of the factor pairs of 120, then look for the ones that are even-odd

120

∧

120 1 even-odd

60 2 even-even

40 3 even-odd

30 4 even-even

24 5 even-odd

20 6 even-even

8 15 even-odd

10 12 even-even

There are 4 even-odd factors pairs for 120.