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?

Question

Hailee

Mathematics

26 July, 14:46

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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Answers (1)

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Libby Buckley · Answer 1

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!