Gabby's Blossoms sells roses in groups of 2. Across town, Baldwin's Blooms sells roses in groups of 18. If a customer wants to buy the same number of roses from both vendors, what is the smallest number of roses the customer will have to buy from each vendor?
Question
Gabby's Blossoms sells roses in groups of 2. Across town, Baldwin's Blooms sells roses in groups of 18. If a customer wants to buy the same number of roses from both vendors, what is the smallest number of roses the customer will have to buy from each vendor?
Solution
To find the smallest number of roses a customer has to buy from each vendor, we need to find the least common multiple (LCM) of 2 and 18.
Step 1: List the multiples of each number.
Multiples of 2: 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28, 30, 32, 34, 36...
Multiples of 18: 18, 36, 54, 72...
Step 2: Find the smallest number that appears in both lists.
The smallest number that appears in both lists is 18.
So, the customer will have to buy at least 18 roses from each vendor.
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