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.

Question

Mathematics

Ayanna Velez

13 March, 07:47

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.

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Answers (1)

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Furball · Answer 1

2x60, 4x30

Step-by-step 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