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AMO 2027 Grades 4-5 SET 17 - Self-study Question 13

AMO · AMO 2027 Grades 4-5 SET 17 - Self-study

Question 13

Loki had some bags of marbles. He kept $\frac14$ of the number of marbles for himself, gave 558 to Pi and the remaining $\frac3{10}$ to Ksi. If there were 40 marbles in each bag, how many bags of marbles did Loki have at first?

Fraction convention: both 1/4 and 3/10 refer to the original total number of marbles, as in the source worked solution.