Question

Jorge planted flowers in his garden he planted one row of 12 tulips and one row of 36 daisies George's friend Kylie has a garden with 75 flowers in it Kylie's garden only contains tulips and daisies. Is it possible for Kylie‘s garden she have the same ratio of tulips to daisies as George's garden?

Answer 1

Kylie's garden can not have the same ratio of tulips to daisies as George's garden.

Explanation:

We have been given that Jorge planted flowers in his garden he planted one row of 12 tulips and one row of 36 daisies.

Let us find the proportion of tulips to daisies in Jorge' garden.

`\text{Tulip to daisies proportion in Jorge's garden}=(12)/(36)`

`\text{Tulip to daisies proportion in Jorge's garden}=(3*4)/(9*4)`

`\text{Tulip to daisies proportion in Jorge's garden}=(1*4)/(3*4)`

`\text{Tulip to daisies proportion in Jorge's garden}=(1)/(3)`

We can see that tulip and daisies in Jorge's garden a multiple of 4, if Kylie wants to have the same ratio of tulips to daisies as Jorge's garden, the total number of flowers in Kylie's garden must be a multiple of 4.

We can see that 75 is not a multiple of 4, therefore, Kylie's garden can not have the same ratio of tulips to daisies as George's garden.