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AMO 2016 Grade 4 Question 17

AMO · AMO 2016 Grade 4

Question 17

Joseph put candles on a cake. He lit $\frac14$ of those candles. Then he lit 5 more of the candles on the cake. As a result, exactly $\frac13$ of the candles on the cake were lit. What was the total number of candles on the cake?