Ravi has 36 red stickers and 48 blue stickers. He wants to pack all of them into identical bags with no stickers left over. Each bag must have the same number of red stickers as every other bag, and the same number of blue stickers as every other bag. What is the greatest number of bags Ravi can make?
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Worked Solution
Step 1: Find all factors of 36.
36: 1, 2, 3, 4, 6, 9, 12, 18, 36.
Step 2: Find all factors of 48.
48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48.
Step 3: Identify the common factors.
Common factors: 1, 2, 3, 4, 6, 12.
Step 4: The greatest common factor is 12.
Ravi can make 12 bags: each bag will have 36 / 12 = 3 red stickers and 48 / 12 = 4 blue stickers.
Answer: 12 bags.
Correct answer: 12
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