Amara's Blossoms sells roses in grups of 20. Across town, Ilsa's Blooms sell roses in groups of 5. 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?
20
how is it 20
The least she can buy from Amara is 20.
She can buy the same number from Ilsa's.
don't you do the gcf?
Yes. What is the gcf of 5 and 20? What are you going to do with that number?
The gcf of 5 and 20 is 5
I don't know how you got 20 what did you do with the 5
She buys one group of 20 from Amara. She buys 4 groups of 5 from Ilsa.
The smallest number she can buy is 20.
To find the smallest number of roses that the customer will have to buy from each vendor, we need to find the least common multiple (LCM) of 20 and 5.
To find the LCM, we can list the multiples of each number and find their lowest common multiple.
Multiples of 20: 20, 40, 60, 80, 100, 120, 140, ...
Multiples of 5: 5, 10, 15, 20, 25, 30, 35, 40, ...
We can see that the first multiple that appears in both lists is 20. Therefore, the LCM of 20 and 5 is 20.
Hence, the customer will have to buy a minimum of 20 roses from each vendor.