Question

There are 75 rose and 45 lily flowers. These are to be made into bouquets containing both the flowers. All the bouquets should contain the same number of flowers. Find the number of bouquets with maximum number of flowers that can be formed and the number of flowers in them.

Answer 1

Since it is given that there are $75$ rose and $45$ lily flowers. Therefore,

Factorise $75$ as follows:

$75=3\times 5\times 5$

Now, factorise $45$ as follows:

$45=3\times 3\times 5$

We know that $HCF$ is the highest common factor.

Since the common factor between the numbers $75$ and $45$ is $3\times 5=15$.

Hence, the number of banquets that can be formed is $15$ and total number of flowers are $5+3=8$.