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You have a summer job at Magic Spring Water park. On "Towel Day," every person gets a free towel with the park logo. Mr. Whipple asks you to arrange the towels in stacks with the same number of towels in each stack. Which of these could be arranged into more than one stack with the same number of towels in each stack?

a) 60 blue towels
b) 29 green towels
c) 37 orange towels
d) 42 white towels

1 Answer

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Final answer:

The towels that can be arranged into more than one stack with the same number of towels in each stack are the 60 blue towels and the 42 white towels, as these are not prime numbers and have multiple factors. so, optrion d is the correct answer.

Step-by-step explanation:

The question asks about arranging towels into stacks with the same number of towels in each stack. To do this, we need to determine which numbers are divisible by more than one number other than 1 and itself, meaning they are not prime numbers and have factors. The options given are:

  1. 60 blue towels
  2. 29 green towels
  3. 37 orange towels
  4. 42 white towels

Numbers 29 and 37 are prime numbers, which means they can only be divided evenly by 1 and themselves. Therefore, you cannot arrange 29 green towels or 37 orange towels into more than one stack with the same number of towels in each stack. However, the numbers 60 and 42 are not prime and can be divided into multiple stacks with the same number of towels, as they have multiple factors other than 1 and themselves. Therefore, the answer to the question is:

  1. a) 60 blue towels
  2. d) 42 white towels

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