Mei Ling has 60 cookies and 84 cupcakes. She wants to pack them into the greatest number of identical boxes so each box has the same number of cookies and the same number of cupcakes, with no items left over. How many boxes can she make?
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Worked Solution
Step 1: Find the GCF of 60 and 84.
Step 2: Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
Step 3: Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Step 4: Common factors: 1, 2, 3, 4, 6, 12.
Step 5: GCF = 12.
Step 6: Verify: 60÷12=5 cookies per box, 84÷12=7 cupcakes per box. ✓
Answer: 12 boxes.
Correct answer: 12
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