Sharing Coins
Connor, Julio, and Kevin got some coins at a party. Connor had 3 times as many coins as Julio, and Julio had 3 times as many coins as Kevin. Connor decided to give some of his coins to Julio and Kevin so that the 3 of them would all have the same number of coins. What fraction of Connor's coins should he give to Kevin?
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1 solution
Let's say Kevin has x coins, then Julio has 3x and Connor has 9x. For everyone to get the same number of coins, we take their average, (x + 3x + 9x) / 3 = 13x/3. Kevin would need an extra of 13x/3 - x = 10x/3 from Connor. This value is (10x/3)/(9x) = 10/27 of Connor's coins in fraction.