# Sara has 16 red flowers and 24 yellow flowers. She wants to make bouquets with the same number of each color flower in each bouquet. What is the greatest number of bouquets she can make?

Oct 26, 2016

She will be able to make 8 bouquets:

Each bouquet will have 2 red flowers and 3 yellow flowers.

#### Explanation:

Sara obviously wants to use all the flowers so she does not any left over. She needs to find a number which divides into 16 and 24,

This is just an indirect way of using the HCF of 16 and 24, which is 8.

$16 = 2 \times 8$
$24 = 3 \times 8$

She will be able to make 8 bouquets:

Each bouquet will have 2 red flowers and 3 yellow flowers.