Question

Rafael wants to buy the same number of gift bags and bows. Gift bags are sold in packs of 6. Bows are sold in packs of 9. What is the least number of gift bags and bows that Rafael can buy?

Solution

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  • \bullet gift bags: 6, 12, 18\text{\underline {18}}, 24, 30, 36, 42, 48, 54, 60, ...
  • \bullet bows: 9, 18\text{\underline {18}}, 27, 36, 45, 54, 63, 72, 81, 90, ...

The least common multiple is 18, so the least number of gift bags he can buy is 18, and the least number of bows he can buy is 18. He can buy at least 3 packs of gift bags and 2 packs of bows.

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