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AMO 2016 Grade 6 Question 20

AMO · AMO 2016 Grade 6

Question 20

Joseph put candles on a cake. He lit $1/4$ of those candles. Then he lit 5 more of the candles on the cake. As a result, exactly $1/3$ of the candles on the cake were lit. What was the total number of candles on the cake?