Problem 21 of 22num-021
A florist has roses and tulips. She makes identical bouquets that use every flower. What is the greatest number of bouquets she can make?
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Solution walkthrough1:22
- Identical bouquets share the roses equally and the tulips equally, so the number of bouquets divides both and .
- List the factors. The common ones are . The greatest is .
- Check: bouquets, each with roses and tulips. Every flower is used.
- Traps: and are common factors but not the greatest, and is the least common multiple.