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5 February, 07:10

Gus and Ike have a 5:3 ratio of cards. if Gus gives Ike 15 cards they now have the same amount. how many cards to they have and how many did they start with?

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  1. 5 February, 08:39
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    I will call x to be the "unit" of the ratio: by this I mean that if the ratio of what Gus and Ike have is 5:3, then Gus has 5x, and Ike 3x cards, and the total amount of cards is 5x+3x=8x.

    the second sentence gives us this knowledge:

    5x-15=3x+15

    and now we count:

    5x-3x=15+15

    2x=30

    x=15.

    so in the beginning Gus had 5x=5*15=75 and Ike 3x=3*15=45, and now they both have 60 cards each!
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