Question

A florist has 72 red roses and 40 white roses. If the florist creates the greatest number of identical bouquets possible with a combination of red and white roses without any roses leftover, how many white roses are in each bouquet?

Answer 1

The greatest common divisor of 72 and 40 is 8, so the florist can make 8 bouquets. Each bouquet will contain 5 white roses.

Step-by-step explanation:

The student's question involves finding the largest number of identical bouquets that can be created from a mix of red and white roses, using all of them without any leftovers.

To solve this problem, we need to find the greatest common divisor (GCD) of the two numbers of roses, which represents the number of bouquets that can be created. The GCD of 72 and 40 is 8. This means the florist can make 8 bouquets, with each bouquet containing the same combination of red and white roses. To find out how many white roses are in each bouquet, we divide the total number of white roses by the number of bouquets: 40 white roses / 8 bouquets = 5 white roses per bouquet.