Question

Barry's deck of cards contains 40 blue cards and 60 red cards max's deck of cards contains the same number of blue cards but the ratio blue cards to red cards 5:9 how many total cards does max's deck of cards contain?

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Answer 1

Max's deck also has 40 blue cards, and for every 5 blue cards in his deck there are 9 red cards. His blue cards can be divided exactly into 8 groups (8 times 5 is 40), so he should also be able to divide his red cards into exactly 8 groups of 9 cards each. So there are 72 red cards in his deck (8 times 9 is 72).