Mr. Gifford's class borrows 18
books from the library. The
books are placed in equal stacks
on a table. There is more than
1 stack and more than 1 book in
each stack. List the different
ways the books can be stacked.

Respuesta :

Answer:

6 stacks 3 books

3 stacks 6 books

2 stacks 9 books

9 stacks 2 books

Step-by-step explanation:

multiples of 18 that arent itself or 1: 2,9 3,6

If each stack is 2 books tall, then there would be 9 stacks because 18/2 = 9, which can be thought of as 9*2 = 18.

If each stack is 3 books tall, then you'd have 6 stacks because 6*3 = 18.

We cannot have 4 books per stack since 18/4 = 4.5 is not a whole number.

Same goes for 5 books per stack.

We can have 6 books per stack. We would have 3 stacks.

This process keeps going until we get the final answer shown below

Notice how we cannot have 18 stacks because of the rule "more than 1 book in each stack".

Another thing to notice about the answer is that each row of values multiply to 18. Put another way: the values are factors of 18. Visually you can think of a rectangle with area 18 and we're trying to find possible integer dimensions for this rectangle.

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Answer:

2 books per stack, 9 stacks

3 books per stack, 6 stacks

6 books per stack, 3 stacks

9 books per stack, 2 stacks

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