To find the largest number of bouquets the florist can make without having any flowers left over, we need to find the common factor of 36, 27, and 18.
The prime factorization of 36 is 2^2 * 3^2.
The prime factorization of 27 is 3^3.
The prime factorization of 18 is 2 * 3^2.
Based on the prime factorization, we can see that the common factor of 36, 27, and 18 is 3^2 = 9.
Therefore, the florist can make 9 bouquets without having any flowers left over.
a florist has 36 roses, 27 tulips, and 18 carnations she must use to create bouquets. each bouquet must have an equal number of each type of flower as the other bouquets. what is the largest number of bouquets she can make without having any flowers left over?
36 bouquets
6 bouquets
3 bouquets
9 bouquets
1 answer