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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ISBN:9780470458365
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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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