Question

The glee club has 120 cupcakes to sell. They have decided to arrange the cupcakes in th shape of a rectangle, such as the rows have an even number of cupcakes and the columns have an odd number of cupcakes. How many arrangements of cupcakes can they creat? Explain.

Answer 1

2x60, 4x30

Explanation:

Given that the glee club has 120 cupcakes to sell.

These 120 cupcakes are to be arranged in a rectangle shape such that

there are even number of cakes lengthwise and even number of cakes breadthwise.

If l is the number of cakes along row, and m is the number of cakes along column, then we have both l and m as even.

Also lm=120

In other words, we must find 2 even factors of 120 l and m such that lm = 120

2x60 is one such pair

Next is 4x30.

There cannot be any other pair satisfying this condition.

Hence answer is 2x60 or 4x30