Problema Solution

Al has 700 cards and Bob has 500 cards. After they each give Peter the same number of cards, the number of cards Al has left is less than or equal to 3 times the number of cards Bob has left. Find the range of the number of cards they each give.

Answer provided by our tutors

Let


A = 700

B = 500

P = What each gave to Peter.


After they each give Peter the same number of cards, the number of cards Al has left is less than or equal to 3 times the number of cards Bob has left:


700 - P <= 3(500 - P)


by solving we find


P <=400


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Al and Bob each gave Peter anywhere from 0 to 400 cards.