Rebecca has a collection of basketball cards. When she puts them in piles of two, she has one card left over. When she puts them in piles of three or four, there is also one card left over, but when she puts them in piles of five there are no cards left over. If Rebecca has fewer than 100 basketball cards, what are the possible numbers of cards she could have?

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.5: Counting Principles
Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...
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3. Rebecca has a collection of basketball cards. When she puts them in piles of two, she has
one card left over. When she puts them in piles of three or four, there is also one card
left over, but when she puts them in piles of five there are no cards left over.
If Rebecca has fewer than 100 basketball cards, what are the possible numbers of cards
she could have?
Transcribed Image Text:3. Rebecca has a collection of basketball cards. When she puts them in piles of two, she has one card left over. When she puts them in piles of three or four, there is also one card left over, but when she puts them in piles of five there are no cards left over. If Rebecca has fewer than 100 basketball cards, what are the possible numbers of cards she could have?
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