Question

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?

Answer 1

Find the greatest number of bouquets she can make.

Sara wants to make bouquets with the same number of each color flower in each bouquet. For this purpose, she will find a number that divides $16$ and $24$.

The $\text{GCF}$ of $16$ and $24$ that will give a number which divides $16$and $24$:

$$\begin{gathered} 16=2\times 8 \\ 24=3\times 8 \end{gathered}$$

Now, $\text{GCF}$ of $16$ and $24$ is $8$.

Thus, the most significant number of bouquets she can make is $8$bouquets and each bouquet must have $2$ red and $3$ yellow flowers respectively.