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AMO 2027 Grades 6-7 SET 16 - Self-study Question 10

AMO · AMO 2027 Grades 6-7 SET 16 - Self-study

Question 10

75% of the marbles in a bag were green. 60% of the remainder were red and the rest were blue. There were 234 more green marbles than blue marbles.

a) How many red marbles were there?

b) After some red marbles were removed from the bag. 10% of the remaining marbles in the bag were red. How many red marbles were removed from the bag?

**Editorial note for this self-study exercise:** Enter the answer to (a), then the answer to (b), as two integers separated by a semicolon with no spaces. Only red marbles are removed.