Math CentralQuandaries & Queries


Question from aneeqa, a student:

Maria, Sofia and Diana shared some cards in the ratio of 4 : 3 : 6. Diana received 14 more cards than Maria. How many cards did Sofia receive?

Hi Aneeqa,

Suppose the cards are dealt to Maria, Sofia and Diana. In the first round Maria gets 4 cards, Sophia gets 3 and Diana gets 6 and hence Diana has 2 more than Maria. In the second round Maria gets 4 more, Sofia gets 3 more and Diana gets 6 more. How many more cards does Diana have than Maria? How many rounds will it take for Diana to have 14 more cards than Maria? How many cards does Sofia have?


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